What is ((ab^3)/(a^5b))^{-2} ?

The solution to ((ab^3)/(a^5b))^{-2} is (a^8)/(b^4)

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simplify ((ab^3)/(a^5b))^{-2}

simplify

(\frac{a b ^{3}}{a ^{5} b})^{- 2}

\frac{a ^{8}}{b ^{4}}

Solution steps

(\frac{a b ^{3}}{a ^{5} b})^{- 2}

Apply exponent rule:

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

(\frac{a b ^{3}}{a ^{5} b})^{- 2} = \frac{1}{( \frac{a b ^{3}}{a ^{5} b} ) ^{2}}

= \frac{1}{( \frac{a b ^{3}}{a ^{5} b} ) ^{2}}

Simplify

(\frac{a b ^{3}}{a ^{5} b})^{2} : \frac{b ^{4}}{a ^{8}}

= \frac{1}{\frac{b ^{4}}{a ^{8}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{a ^{8}}{b ^{4}}

192 x + 1029 x^{4}

(0.8 - x) (0.7 - x) - 0.06 = 0

c^{2} + 11 c + 18

\frac{3 + t ^{4}}{u t ^{2} + u ^{4} t ^{2}}

18 \geq - 2 x

What is ((ab^3)/(a^5b))^{-2} ?
The solution to ((ab^3)/(a^5b))^{-2} is (a^8)/(b^4)