What is \mid (sqrt(\sqrt[3]{1/2)}\mid ^{-12}) ?

The solution to \mid (sqrt(\sqrt[3]{1/2)}\mid ^{-12}) is 1/(\sqrt[6]{2)\mid ^{11}}

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simplify \mid (sqrt(\sqrt[3]{1/2)}\mid ^{-12})

simplify

Solution steps

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

∣ ∣^{- 12} = ∣^{1 - 12}

Subtract the numbers:

1 - 12 = - 11

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

∣^{- 11} = \frac{1}{∣ ^{11}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

Multiply:

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

\frac{1042912260 \cdot ( ( 690 - 25 ) ^{2} )}{4} \cdot 1 0^{- 14}

(8.798 \cdot 1 0^{- 28}) (3 \cdot 1 0^{8})^{2}

2.3 \cdot 1 0^{- 5} e^{(- \frac{148000}{8.314 \cdot 1173})}

(1.5196 \cdot 1 0^{- 5}) (808000)

What is \mid (sqrt(\sqrt[3]{1/2)}\mid ^{-12}) ?
The solution to \mid (sqrt(\sqrt[3]{1/2)}\mid ^{-12}) is 1/(\sqrt[6]{2)\mid ^{11}}