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If a × a × a = b, what is the cube root of b?Select one:a. 3b. ac. a × ad. a × a × a

Question

If a × a × a = b, what is the cube root of b?

Select one:

  • a. 3
  • b. a
  • c. a × a
  • d. a × a × a
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Solution

Break Down the Problem

  1. We start with the equation a×a×a=b a \times a \times a = b .
  2. We need to find the cube root of b b .

Relevant Concepts

  1. The cube root of a number x x is defined as x3 \sqrt[3]{x} .
  2. Since b=a3 b = a^3 , we can express the cube root of b b as: b3=a33 \sqrt[3]{b} = \sqrt[3]{a^3}

Analysis and Detail

  1. By the properties of exponents: a33=a \sqrt[3]{a^3} = a

Verify and Summarize

  1. The cube root of b b simplifies to a a .
  2. Therefore, we have verified the relationship.

Final Answer

The cube root of b b is a\boxed{a}.

This problem has been solved

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