What is (11a^{16}b^3)((4a^3b^6)/(c^8))^{-5} ?

The solution to (11a^{16}b^3)((4a^3b^6)/(c^8))^{-5} is (11ac^{40})/(1024b^{27)}

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simplify (11a^{16}b^3)((4a^3b^6)/(c^8))^{-5}

simplify

(11 a^{16} b^{3}) (\frac{4 a ^{3} b ^{6}}{c ^{8}})^{- 5}

\frac{11 a c ^{40}}{1024 b ^{27}}

Solution steps

(11 a^{16} b^{3}) (\frac{4 a ^{3} b ^{6}}{c ^{8}})^{- 5}

Simplify

(\frac{4 a ^{3} b ^{6}}{c ^{8}})^{- 5} : \frac{c ^{40}}{1024 a ^{15} b ^{30}}

= 11 a^{16} b^{3} \frac{c ^{40}}{1024 a ^{15} b ^{30}}

Apply the fraction rule:

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

= \frac{11 a ^{16} b ^{3} c ^{40}}{1024 a ^{15} b ^{30}}

Simplify

\frac{a ^{16}}{a ^{15}} : a

= \frac{11 a b ^{3} c ^{40}}{1024 b ^{30}}

Simplify

\frac{b ^{3}}{b ^{30}} : \frac{1}{b ^{27}}

= \frac{11 a c ^{40}}{1024 b ^{27}}

x^{2} - 4 x + 4 y - y^{2}

\frac{\frac{1}{2}}{\frac{x}{a}} a^{2} + 2 a^{3} - 4 a^{4}

(\frac{3}{2 \cdot x + 1})^{3}

(a^{2} + 1)^{3}

\frac{( 3 x ^{3} - 3 x ^{2} )}{( x ^{3} - x )}

What is (11a^{16}b^3)((4a^3b^6)/(c^8))^{-5} ?
The solution to (11a^{16}b^3)((4a^3b^6)/(c^8))^{-5} is (11ac^{40})/(1024b^{27)}