What is sqrt(\sqrt[3]{a^{12)b^{18}c^{-6}}} ?

The solution to sqrt(\sqrt[3]{a^{12)b^{18}c^{-6}}} is (a^2b^3)/c

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simplify sqrt(\sqrt[3]{a^{12)b^{18}c^{-6}}}

simplify

\frac{a ^{2} b ^{3}}{c}

Solution steps

Simplify

= \frac{a ^{4} b ^{6}}{c ^{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{a ^{4} b ^{6}}{c ^{2}}

Simplify

a^{4} b^{6} : a^{2} b^{3}

= \frac{a ^{2} b ^{3}}{c ^{2}}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

c^{2} = c

= \frac{a ^{2} b ^{3}}{c}

- 2 e^{- (- 1)^{2}} (- 1)

4 t e^{- 2 t} u (t)

e^{- 108}

37.5 \cdot 1 0^{- 3} \cdot 0.6

What is sqrt(\sqrt[3]{a^{12)b^{18}c^{-6}}} ?
The solution to sqrt(\sqrt[3]{a^{12)b^{18}c^{-6}}} is (a^2b^3)/c