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Which expression is equivalent to (56)6(5^6)^6?\newlineChoices:\newline(A) 5365^{36}\newline(B) 1512\frac{1}{5^{12}}\newline(C) 5125^{12}\newline(D) 1536\frac{1}{5^{36}}

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Identify equivalent expressions involving exponents Iright chevron icon

Full solution

Q. Which expression is equivalent to (56)6(5^6)^6?\newlineChoices:\newline(A) 5365^{36}\newline(B) 1512\frac{1}{5^{12}}\newline(C) 5125^{12}\newline(D) 1536\frac{1}{5^{36}}
  1. Simplify Power Rule: Simplify the expression using the power of a power rule.\newline(56)6=5(6∗6)(5^6)^6 = 5^{(6*6)}\newline=536= 5^{36}
  2. Match with Choices: Match the simplified expression with the given choices.\newline5365^{36} corresponds to choice (A).

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