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Which statement is true about the value of the expression below?

(-2^(3))^(-2)
It is between 0 and 1 .
It is less than -1 .
It is between -1 and 0 .
It is greater than 1.

Which statement is true about the value of the expression below? $\newline$ $\left(-2^{3}\right)^{-2}$ $\newline$ It is between $0$ and $1$ . $\newline$ It is less than $-1$ . $\newline$ It is between $-1$ and $0$ . $\newline$ It is greater than $1$ .

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Power rule with rational exponents

Full solution

Q. Which statement is true about the value of the expression below?

\newline

\left(-2^{3}\right)^{-2}

\newline

It is between

0

and

1

.

\newline

It is less than

-1

.

\newline

It is between

-1

and

0

.

\newline

It is greater than

1

.

Take Reciprocal and Square: Now, we have $(-8)^{-2}$ . Since the exponent is negative, we take the reciprocal and square it. $\newline$ $\frac{1}{(-8)^2} = \frac{1}{64}$
Determine Correct Statement: Since $\frac{1}{64}$ is a positive number and it's less than $1$ , the correct statement is: It is between $0$ and $1$ .

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\newline

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\newline

\newline

Write your answer in the form

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\newline

\newline

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