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Popular >

simplify 1/(8^{2/3)}

Solution

simplify

\frac{1}{8 ^{\frac{2}{3}}}

Solution

\frac{1}{4}

+1

Solution steps

\frac{1}{8 ^{\frac{2}{3}}}

Factor the number:

8 = 2^{3}

= \frac{1}{( 2 ^{3} ) ^{\frac{2}{3}}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(2^{3})^{\frac{2}{3}} = 2^{3 \cdot \frac{2}{3}}

= \frac{1}{2 ^{3 \cdot \frac{2}{3}}}

3 \cdot \frac{2}{3} = 2

= \frac{1}{2 ^{2}}

2^{2} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is 1/(8^{2/3)} ?
The solution to 1/(8^{2/3)} is 1/4