Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 28, 2024

Express $\left(\frac{2}{7}\right)^{4}$ as a division of two powers.

STEP 1

Assumptions
1. We are given the expression $\left(\frac{2}{7}\right)^{4}$ .
2. We need to write the expression as the division of two powers.

STEP 2

Recognize that the given expression is a power of a fraction.
$\left(\frac{2}{7}\right)^{4}$

STEP 3

Apply the exponent to both the numerator and the denominator of the fraction separately.
$\left(\frac{2}{7}\right)^{4} = \frac{2^4}{7^4}$

STEP 4

Write the final expression as the division of two powers.
$\left(\frac{2}{7}\right)^{4} = \frac{2^4}{7^4}$
The expression $\left(\frac{2}{7}\right)^{4}$ can be written as the division of two powers: $\frac{2^4}{7^4}$ .

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