Question

apply the property of negative integers. 5^-3

Answer 1

the answer should not contain any exponents or decimals

Answer 2

To apply the property of negative integers to evaluate \(5^{-3}\), we use the rule that states:

\[
a^{-n} = \frac{1}{a^n}
\]

where \(a\) is a positive integer and \(n\) is a positive integer.

In this case, let \(a = 5\) and \(n = 3\). Thus,

\[
5^{-3} = \frac{1}{5^3}
\]

Next, we need to calculate \(5^3\):

\[
5^3 = 5 \times 5 \times 5 = 125
\]

Now substitute this back into the expression:

\[
5^{-3} = \frac{1}{125}
\]

So, the final result is:

\[
5^{-3} = \frac{1}{125}
\]

Answer 3

If you want the answer expressed without any exponents or decimals, we can represent \(\frac{1}{125}\) in a fraction form.

So,

\[
5^{-3} = \frac{1}{125}
\]

does not contain exponents or decimals.

If you're looking to express it in a whole number or integer context, there isn't a traditional whole number equivalent since \(\frac{1}{125}\) is a fraction. In summary:

\[
5^{-3} = \frac{1}{125}
\]

is already in a simplified form without exponents or decimals.