Which expression is equivalent to (11^1)^4? Choices: (A)11^4 (B)1/11^5 (C)1/11^4 (D)11^5

Understand Rule: 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)Apply Rule to Calculation: Apply the exponent rule to (11^1)^4. We have 11 raised to the power of 1, and this result is then raised to the power of 4. (11^1)^4 = 11^(1*4) = 11^4Choose Equivalent Expression: Choose the equivalent expression for (11^1)^4. According to the calculation in Step 2, (11^1)^4 is equivalent to 11^4.

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Which expression is equivalent to $(11^1)^4$ ? $\newline$ Choices: $\newline$ (A) $11^4$ $\newline$ (B) $\frac{1}{11^5}$ $\newline$ (C) $\frac{1}{11^4}$ $\newline$ (D) $11^5$

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Math Problems

Algebra 1

Identify equivalent exponential expressions I

Full solution

Q. Which expression is equivalent to

(11^1)^4

\newline

Choices:

\newline

(A)

11^4

\newline

(B)

\frac{1}{11^5}

\newline

(C)

\frac{1}{11^4}

\newline

(D)

11^5

Understand Rule: Understand the exponent rule for powers raised to powers. $\newline$ When we have a power raised to another power, we multiply the exponents. $\newline$ $(a^m)^n = a^{m*n}$
Apply Rule to Calculation: Apply the exponent rule to 11^1)^4\. We have \$11 raised to the power of $1$ , and this result is then raised to the power of $4$ . \(11^ $1$ )^ $4$ = $11$ ^{( $1$ * $4$ )} = $11$ ^ $4$ \
Choose Equivalent Expression: Choose the equivalent expression for $11^ $1$ )^ $4$ \. According to the calculation in Step $2$ , \(11^ $1$ )^ $4$ \ is equivalent to (11$^ $4$ \.