I need to be able to square or power (ex : 8^8 or 8^.5) but my calculator only seems to power by 2.
What are the commands or buttons needed to be able to do these calculations? What type of calculator can do this.
1. Squaring is to the power of 2, if you mean to the power of 3, that's cubing,
2. The button may look something like X with a little Y above it
3. Scientific or graphing calculators should have either the button I previously mentioned or a standard ^ button, both of which work in the same way.
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For backwards time travel to be possible, wouldn't every instant in the universe have to be stored somewhere, or time to be something physical you could travel through? Either way doesn't work with the current laws of physics.
Correct me if I'm wrong, but I don't think you can directly do it that way for a non-integer, which was part of the OP's question.
The point is, learn how to do stuff on paper and quit relying on technology. See what happens when you cannot do something, because you lack a calculator to do such?
Edit: Should add that given a non integer, you should be doing that manually then anyway as calculator is likely to ALWAYS give a wrong answer if you raw input without simplifying your problem. Again, no one is taught same, so ones way is different then another. I learned most things without a calculator, till about 11th or 12th grade. I doubt current upcoming generation could manage this as to relying on a calculator to do things.
I think the current emphasis in education is more of a worry than whether or not we're using a calculator.
I somehow ended up in Algebra II even though I find it hard and I am not going to want to go to pre-cal in junior year.... I'll probably go to either math 2 or math 3 more likely (common core).
First one is fairly straightforward, using the rules of exponents you get 8-1.5=8-1-0.5=(1/8)(1/sqrt(8)). I can't think of a quick way to evaluate a cube root off the top of my head though, if your calculator doesn't do it for you.
In what context do these questions come up? Are the questions designed under the assumption that your calculator can compute powers of non-integer values, or are you expected to break them up using the rules and such?
If you have a logarithm table you can do any exponentiation problem:
xy = eln(xy) = ey ln x
So all you have to do is find the logarithm of your base (x), multiply it by y, and then find e raised to that power. Alternatively this works with any logarithm base, so if all you had was a table of base 10 logarithms that'd be fine. This is usually how a calculator computes these things anyway.
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Never attribute to malice what can adequately be explained by incompetence.
I somehow ended up in Algebra II even though I find it hard and I am not going to want to go to pre-cal in junior year.... I'll probably go to either math 2 or math 3 more likely (common core).
Are you in America? In 'Merica, 9th grade on is algebra 1, then geometry 1, then algebra 2, then pre-cal, then calculus.(if you take no pre-ap classes or GT) 9th-12th grade is our high school, can vary between states by a year.
Feel free to pm me about any concerns,corrections,or questions.
I do redstone, pvp, light map making, enjoy sweet tea, and I'm a Leo.
If I helped, Up-vote my post please. Quote me if you require my attention.
Are you in America? In 'Merica, 9th grade on is algebra 1, then geometry 1, then algebra 2, then pre-cal, then calculus.(if you take no pre-ap classes or GT) 9th-12th grade is our high school, can vary between states by a year.
That is the minimum, I know 3 people who took pre-cal as a freshman. Myself: algebra 2. the rest took geometry and algebra 1.
Not sure what GT is, something unique to your school system probably.
Are you in America? In 'Merica, 9th grade on is algebra 1, then geometry 1, then algebra 2, then pre-cal, then calculus.(if you take no pre-ap classes or GT) 9th-12th grade is our high school, can vary between states by a year.
10th grade was Algebra I, 11th was Geometry, 12th was basically Algebra II/Calculus (did not take, was full) for me.
That is the minimum, I know 3 people who took pre-cal as a freshman. Myself: algebra 2. the rest took geometry and algebra 1.
I took Algebra 1 in 7th grade, Geometry in 8th grade, and then my school system determined I should skip Algebra 2 entirely (which was probably detrimental to my education). So now I'm in Pre-cal in 9th grade. As are most of my peers, actually.
Not sure what GT is, something unique to your school system probably.
I would assume it means Gifted and Talented, as it usually does in many school systems.
Or, as Seawry said, General Trigonometry, but we don't have that in my school, so I wouldn't know.
I took Algebra 1 in 7th grade, Algebra 2 in 8th grade, and then my school system determined I should skip Algebra 2 entirely (which was probably detrimental to my education). So now I'm in Pre-cal in 9th grade. As are most of my peers, actually..
Wheres geometry? That usually comes in between algebra 1 and 2.
So many different standards. Same goes for grade weighting.
That is true I guess, but did not slip to my mind at time. What is amusing is how everyone is taught different methods and some things I do not know.
That method is more useful for computing large powers of numbers (usually modulo some other number). Like, if I asked you what the last 4 digits of 7213 were you wouldn't want to multiply by 7 213 times, that'd take a while and you'd probably lose count. Instead you do it this way:
Keep track of a multiplier, start it at 7 (or whatever the base number is). Keep track of the exponent (213 in this case). Keep track of the result, this always starts as 1:
At every step, check if your exponent is odd. If it is, multiple the result by the multiplier.
Next divide the exponent by 2 and truncate.
Next square the multiplier.
Repeat until the exponent is 0.
Now, since I want the last 4 digits, I'm only ever going to keep the last 4 digits of any result.
What are the commands or buttons needed to be able to do these calculations? What type of calculator can do this.
1. Squaring is to the power of 2, if you mean to the power of 3, that's cubing,
2. The button may look something like X with a little Y above it
3. Scientific or graphing calculators should have either the button I previously mentioned or a standard ^ button, both of which work in the same way.
Do you know how to do it manually though? I would sorta hope you do?
8^8 = 16777216
8*8*8*8*8*8*8*8 = 16777216
(Before any open their lips saying ""oh that is wrong"", no one is taught the same.)
Correct me if I'm wrong, but I don't think you can directly do it that way for a non-integer, which was part of the OP's question.
Black Aura (Now with a custom loop!)
The point is, learn how to do stuff on paper and quit relying on technology. See what happens when you cannot do something, because you lack a calculator to do such?
Edit: Should add that given a non integer, you should be doing that manually then anyway as calculator is likely to ALWAYS give a wrong answer if you raw input without simplifying your problem. Again, no one is taught same, so ones way is different then another. I learned most things without a calculator, till about 11th or 12th grade. I doubt current upcoming generation could manage this as to relying on a calculator to do things.
smh tbh fam
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Retired StaffI think the current emphasis in education is more of a worry than whether or not we're using a calculator.
"Programmers never repeat themselves. They loop."
fm87!I somehow ended up in Algebra II even though I find it hard and I am not going to want to go to pre-cal in junior year.... I'll probably go to either math 2 or math 3 more likely (common core).
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Retired StaffOr:
88 = ((82)2)2
Meaning you can just hit the x² button 3 times.
If you have a logarithm table you can do any exponentiation problem:
xy = eln(xy) = ey ln x
So all you have to do is find the logarithm of your base (x), multiply it by y, and then find e raised to that power. Alternatively this works with any logarithm base, so if all you had was a table of base 10 logarithms that'd be fine. This is usually how a calculator computes these things anyway.
Are you in America? In 'Merica, 9th grade on is algebra 1, then geometry 1, then algebra 2, then pre-cal, then calculus.(if you take no pre-ap classes or GT) 9th-12th grade is our high school, can vary between states by a year.
I do redstone, pvp, light map making, enjoy sweet tea, and I'm a Leo.
If I helped, Up-vote my post please.
Quote me if you require my attention.
That is the minimum, I know 3 people who took pre-cal as a freshman. Myself: algebra 2. the rest took geometry and algebra 1.
Not sure what GT is, something unique to your school system probably.
fm87!10th grade was Algebra I, 11th was Geometry, 12th was basically Algebra II/Calculus (did not take, was full) for me.
That is true I guess, but did not slip to my mind at time. What is amusing is how everyone is taught different methods and some things I do not know.
General Trigonometry is a long-shot guess there.
I took Algebra 1 in 7th grade, Geometry in 8th grade, and then my school system determined I should skip Algebra 2 entirely (which was probably detrimental to my education). So now I'm in Pre-cal in 9th grade. As are most of my peers, actually.
I would assume it means Gifted and Talented, as it usually does in many school systems.
Or, as Seawry said, General Trigonometry, but we don't have that in my school, so I wouldn't know.
Black Aura (Now with a custom loop!)
Wheres geometry? That usually comes in between algebra 1 and 2.
So many different standards. Same goes for grade weighting.
fm87!Whoops, sorry, I meant I took Geometry in 8th grade.
Edited.
I didn't take Algebra 2.
Black Aura (Now with a custom loop!)
fm87!It wasn't my decision though, it was the school system's. I'm assuming colleges may make some exception for that.
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Retired StaffThat method is more useful for computing large powers of numbers (usually modulo some other number). Like, if I asked you what the last 4 digits of 7213 were you wouldn't want to multiply by 7 213 times, that'd take a while and you'd probably lose count. Instead you do it this way:
Keep track of a multiplier, start it at 7 (or whatever the base number is). Keep track of the exponent (213 in this case). Keep track of the result, this always starts as 1:
At every step, check if your exponent is odd. If it is, multiple the result by the multiplier.
Next divide the exponent by 2 and truncate.
Next square the multiplier.
Repeat until the exponent is 0.
Now, since I want the last 4 digits, I'm only ever going to keep the last 4 digits of any result.
7, 213, 1
49, 106, 7
2401, 53, 7
4801, 26, 6807
9601, 13, 6807
9201, 6, 4007
8401, 3, 4007
6801, 1, 2807
3601, 0, 0407
So the last 4 digits of 7^213 are 0407. Took 9 steps which is a lot less than 213 steps.
If I wanted to I could compute 7 to a power in the billions and it'd only take around 32 steps to do it.