Which expression is equivalent to (9^1)^3? Choices: (A)1/9^3 (B)9^4 (C)1/9^4 (D)9^3

Exponent Rule Explanation: Understand the exponent rule for powers raised to powers. When we raise a power to another power, we multiply the exponents. (a^m)^n = a^(m*n)Applying Exponent Rule: Apply the exponent rule to (9^1)^3. We have a power (9^1) being raised to another power (3), so we multiply the exponents. (9^1)^3 = 9^(1*3) = 9^3Finding Equivalent Expression: Choose the equivalent expression for (9^1)^3. From the calculation in Step 2, we know that (9^1)^3 is equivalent to 9^3.

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Which expression is equivalent to $(9^1)^3$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{9^3}$ $\newline$ (B) $9^4$ $\newline$ (C) $\frac{1}{9^4}$ $\newline$ (D) $9^3$

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Math Problems

Algebra 1

Identify equivalent exponential expressions I

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Q. Which expression is equivalent to

(9^1)^3

\newline

Choices:

\newline

(A)

\frac{1}{9^3}

\newline

(B)

9^4

\newline

(C)

\frac{1}{9^4}

\newline

(D)

9^3

Exponent Rule Explanation: Understand the exponent rule for powers raised to powers. $\newline$ When we raise a power to another power, we multiply the exponents. $\newline$ $(a^m)^n = a^{(m*n)}$
Applying Exponent Rule: Apply the exponent rule to $(9^1)^3$ . $\newline$ We have a power $(9^1)$ being raised to another power $(3)$ , so we multiply the exponents. $\newline$ $(9^1)^3 = 9^{1*3} = 9^3$
Finding Equivalent Expression: Choose the equivalent expression for $(9^1)^3$ . From the calculation in Step $2$ , we know that $(9^1)^3$ is equivalent to $9^3$ .