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Which expressions are equivalent to (1)/(5)*(1)/(5)*(1)/(5)*(1)/(5) ? Choose 2 answers: A (5^(-2))^(2) B (5^(-4))^(0) c. (5^(1))/(5^(4)) D 5^(2)*5^(-6)

Which expressions are equivalent to \newline(15)⋅(15)⋅(15)⋅(15)(\frac{1}{5})\cdot(\frac{1}{5})\cdot(\frac{1}{5})\cdot(\frac{1}{5})?\newlineChoose 22 answers:\newlineA. (5−2)2(5^{-2})^{2}\newlineB. (5−4)0(5^{-4})^{0}\newlineC. 5154\frac{5^{1}}{5^{4}}\newlineD. 52⋅5−65^{2}\cdot5^{-6}

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Full solution

Q. Which expressions are equivalent to \newline(15)⋅(15)⋅(15)⋅(15)(\frac{1}{5})\cdot(\frac{1}{5})\cdot(\frac{1}{5})\cdot(\frac{1}{5})?\newlineChoose 22 answers:\newlineA. (5−2)2(5^{-2})^{2}\newlineB. (5−4)0(5^{-4})^{0}\newlineC. 5154\frac{5^{1}}{5^{4}}\newlineD. 52⋅5−65^{2}\cdot5^{-6}
  1. Simplify expression: Simplify the given expression. (15)×(15)×(15)×(15)(\frac{1}{5}) \times (\frac{1}{5}) \times (\frac{1}{5}) \times (\frac{1}{5}) can be written as (15)4(\frac{1}{5})^4 because when you multiply the same base with exponents, you add the exponents.\newlineCalculation: (15)4=5−4(\frac{1}{5})^4 = 5^{-4}
  2. Evaluate answer choices: Evaluate each answer choice to see if it is equivalent to 5−45^{-4}.\newlineA. (5−2)2=5−4(5^{-2})^2 = 5^{-4} because when you raise a power to a power, you multiply the exponents.\newlineCalculation: (−2)×2=−4(-2) \times 2 = -4

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