What is ((\sqrt[6]{1/2*1/4*1/8})/(1-1/2))^2 ?

The solution to ((\sqrt[6]{1/2*1/4*1/8})/(1-1/2))^2 is 1

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simplify ((\sqrt[6]{1/21/41/8})/(1-1/2))^2

simplify

1

Solution steps

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{\frac{1}{4}}{( 1 - \frac{1}{2} ) ^{2}}

(1 - \frac{1}{2})^{2} = \frac{1}{4}

= \frac{\frac{1}{4}}{\frac{1}{4}}

Apply rule

\frac{a}{a} = 1

= 1

2 a \cdot 14 a^{3} \cdot 5 a

40 \cdot 2

\frac{16}{- 8}

2^{l o g_{2} (10)}

2^{3 + l o g_{2} (5)}

What is ((\sqrt[6]{1/2*1/4*1/8})/(1-1/2))^2 ?
The solution to ((\sqrt[6]{1/2*1/4*1/8})/(1-1/2))^2 is 1