Which expression is equivalent to (11^3)^1? Choices: (A)11^3 (B)1/11^3 (C)11^4 (D)1/11^4

Exponent Rule Explanation: Understand the exponent rule for powers raised to powers. When we have a power raised to another power, we multiply the exponents. (a^m)^n = a^(m*n)Applying Exponent Rule: Apply the exponent rule to (11^3)^1. Since the exponent outside the parenthesis is 1, we multiply 3 by 1. (11^3)^1 = 11^(3*1) = 11^3Choosing Equivalent Expression: Choose the equivalent expression for (11^3)^1. Since (11^3)^1 simplifies to 11^3, the equivalent expression is 11^3.

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Which expression is equivalent to $(11^3)^1$ ? $\newline$ Choices: $\newline$ (A) $11^3$ $\newline$ (B) $\frac{1}{11^3}$ $\newline$ (C) $11^4$ $\newline$ (D) $\frac{1}{11^4}$

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Math Problems

Algebra 1

Identify equivalent exponential expressions I

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Q. Which expression is equivalent to

(11^3)^1

\newline

Choices:

\newline

(A)

11^3

\newline

(B)

\frac{1}{11^3}

\newline

(C)

11^4

\newline

(D)

\frac{1}{11^4}

Exponent Rule Explanation: Understand the exponent rule for powers raised to powers. $\newline$ When we have a power raised to another power, we multiply the exponents. $\newline$ $(a^m)^n = a^{(m*n)}$
Applying Exponent Rule: Apply the exponent rule to $(11^3)^1$ . Since the exponent outside the parenthesis is $1$ , we multiply $3$ by $1$ . $(11^3)^1 = 11^{(3*1)} = 11^3$
Choosing Equivalent Expression: Choose the equivalent expression for $11^3$ ^ $1$ . Since $11^3$ ^ $1$ simplifies to $11^3$ , the equivalent expression is $11^3$ .