What is (a^{-6}b^2)/(c^{-2)} ?

The solution to (a^{-6}b^2)/(c^{-2)} is (b^2c^2)/(a^6)

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simplify (a^{-6}b^2)/(c^{-2)}

simplify

\frac{a ^{- 6} b ^{2}}{c ^{- 2}}

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

Solution steps

\frac{a ^{- 6} b ^{2}}{c ^{- 2}}

Simplify

a^{- 6} b^{2} : \frac{b ^{2}}{a ^{6}}

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

Apply the fraction rule:

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

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

Simplify

a^{6} c^{- 2} : \frac{a ^{6}}{c ^{2}}

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

Apply the fraction rule:

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

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

6 (m - 1) = 3 (3 m + 5)

15 n^{3} - 6 n^{2} - 25 n + 10

0 = 3 x^{2} - x - 2

y - 15 = - 78

2 (11 c - \frac{33}{2} d)

What is (a^{-6}b^2)/(c^{-2)} ?
The solution to (a^{-6}b^2)/(c^{-2)} is (b^2c^2)/(a^6)