Which expression is equivalent to ((4^(3))^(0))/(4^(-3))? 0 4^(-3) 1 4^(3)

Simplify numerator: Simplify the numerator ((4^(3))^(0)). Any number raised to the power of 0 is 1. Therefore, ((4^(3))^(0)) = 1.Simplify denominator: Simplify the denominator 4^(-3). A negative exponent means that the base is on the wrong side of the fraction line, so we take the reciprocal of the base and make the exponent positive. Therefore, 4^(-3) = 1/(4^3).Write expression: Write the expression after simplifying the numerator and the denominator. We have 1 for the numerator from Step 1 and 1/(4^3) for the denominator from Step 2. So, the expression becomes 1 / (1/(4^3)).Simplify final expression: Simplify the expression 1 / (1/(4^3)). When dividing by a fraction, it is equivalent to multiplying by its reciprocal. Therefore, 1 / (1/(4^3)) = 1 * (4^3) = 4^3.

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Which expression is equivalent to
((4^(3))^(0))/(4^(-3))?
0

4^(-3)
1

4^(3)

Which expression is equivalent to $\frac{\left(4^{3}\right)^{0}}{4^{-3}} ?$ $\newline$ $0$ $\newline$ $4^{-3}$ $\newline$ $1$ $\newline$ $4^{3}$

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Algebra 1

Multiplication with rational exponents

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Q. Which expression is equivalent to

\frac{\left(4^{3}\right)^{0}}{4^{-3}} ?

\newline

0

\newline

4^{-3}

\newline

1

\newline

4^{3}

Simplify numerator: Simplify the numerator $((4^{3})^{0})$ . Any number raised to the power of $0$ is $1$ . Therefore, $((4^{3})^{0}) = 1$ .
Simplify denominator: Simplify the denominator $4^{-3}$ . A negative exponent means that the base is on the wrong side of the fraction line, so we take the reciprocal of the base and make the exponent positive. Therefore, $4^{-3} = \frac{1}{4^3}$ .
Write expression: Write the expression after simplifying the numerator and the denominator. $\newline$ We have $1$ for the numerator from Step $1$ and $1/(4^3)$ for the denominator from Step $2$ . $\newline$ So, the expression becomes $1 / (1/(4^3))$ .
Simplify final expression: Simplify the expression $1 / (1/(4^3))$ . When dividing by a fraction, it is equivalent to multiplying by its reciprocal. Therefore, $1 / (1/(4^3)) = 1 \times (4^3) = 4^3$ .