Question

Which of the following is equivalent to (5) Superscript seven-thirds? 5–4 54 RootIndex 7 StartRoot 5 cubed EndRoot RootIndex 3 StartRoot 5 Superscript 7 Baseline EndRoot

Answer 1

Answer:

D. RootIndex 3 StartRoot 5 Superscript 7 Baseline EndRoot

Step-by-step explanation:

Edge 2020

Answer 2

Answer:

  $\sqrt[3]{5^7}$

Step-by-step explanation:

According to the rules of roots and exponents, ...

  $\displaystyle \boxed{5^{7/3}=\sqrt[3]{5^7}}$

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The denominator of the fractional exponent is the index of the root. The numerator of the fractional exponent can be applied inside or outside the root:

  a^(b/c) = (a^(1/c))^b = (a^b)^(1/c)