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Which expression is equivalent to (113)1(11^3)^1?\newlineChoices:\newline(A) 11311^3\newline(B) 1113\frac{1}{11^3}\newline(C) 11411^4\newline(D) 1114\frac{1}{11^4}

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Identify equivalent exponential expressions Iright chevron icon

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Q. Which expression is equivalent to (113)1(11^3)^1?\newlineChoices:\newline(A) 11311^3\newline(B) 1113\frac{1}{11^3}\newline(C) 11411^4\newline(D) 1114\frac{1}{11^4}
  1. Exponent Rule Explanation: Understand the exponent rule for powers raised to powers.\newlineWhen we have a power raised to another power, we multiply the exponents.\newline(am)n=a(m∗n)(a^m)^n = a^{(m*n)}
  2. Applying Exponent Rule: Apply the exponent rule to (113)1(11^3)^1. Since the exponent outside the parenthesis is 11, we multiply 33 by 11. (113)1=11(3∗1)=113(11^3)^1 = 11^{(3*1)} = 11^3
  3. Choosing Equivalent Expression: Choose the equivalent expression for 11311^3^11. Since 11311^3^11 simplifies to 11311^3, the equivalent expression is 11311^3.

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