High School

Which of the following is equal to the fraction below?

\[
\left(\frac{4}{5}\right)^6
\]

A. \(6 \times \frac{4}{5}\)

B. \(\frac{4^6}{5^6}\)

C. \(\frac{4^6}{5}\)

D. \(\frac{24}{30}\)

Answer :

Final answer:

The correct answer is 24/5 or 4.8. This is achieved by multiplying the numerator of the fraction 4/5 by the whole number 6.

Explanation:

The question asks which of the following options is equal to the fraction (4/5)6. As you can tell, this is a question about the rule of multiplication of fractions. In mathematics, when you are given a multiplication of a fraction and a whole number like this one, the procedure is to multiply the numerator of the fraction (the top number) by that whole number. Therefore, the correct answer will be the product of the whole number and the fraction.

In this case, you multiply 4/5 (the fraction) by 6 (the whole number). This gives you the fraction 24/5. You translate this mixed number into a decimal to get 4.8, which is your final answer.

Learn more about the Multiplication of Fractions here:

https://brainly.com/question/32999372

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