What would 10 to the power of -2 be?
Would it be -100?
Would it be -100?
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No. When squaring a number you indeed multiply it by itself, but when multiplying by a negative power you find the recipocal of the number. So the square of 10( or 10 to the 2nd power) is 100, but the recipocal of 100 is 1/100.
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1/100
A^(-B) = 1/A^B
Here's the way to remember this
If you had [10^5]/[10^2] you see it = 10^3
Because 3 = 5-2
General rule
[A^B]/[A^C] = A^[B-C]
So if B is zero, ie it is 1/10^whatever [recall 10^0 = 1]
and you wind up with 1/[A^C] = A^[0-C] = A^[-C]
A^(-B) = 1/A^B
Here's the way to remember this
If you had [10^5]/[10^2] you see it = 10^3
Because 3 = 5-2
General rule
[A^B]/[A^C] = A^[B-C]
So if B is zero, ie it is 1/10^whatever [recall 10^0 = 1]
and you wind up with 1/[A^C] = A^[0-C] = A^[-C]
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Whenever a number is raised to a NEGATIVE power all you have to do is divide 1 by that number.
so 10^-2 = 1 over 10^2
1/10^2
= 1/100
so 10^-2 = 1 over 10^2
1/10^2
= 1/100
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Anything to the negative power means it's automatically a fraction with 1 on top. It would be
1/10^2 so it'd be 1/100
1/10^2 so it'd be 1/100
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10^(- 2) = 1/10^2 = 1/100
read your textbook...properties of exponents...negative exponents.
@ß
read your textbook...properties of exponents...negative exponents.
@ß
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1 divided the root of ten squared.
So the answer would be 1/10
So the answer would be 1/10
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A number in the form of x^-y can be written as 1 / x^y.
10^-2 = 1 / 10^2 = 1 / 100
Answer: 1/100, which equals 0.01
10^-2 = 1 / 10^2 = 1 / 100
Answer: 1/100, which equals 0.01