What is (((3a^2*b))/((12a*b^4)))^{-2} ?

The solution to (((3a^2*b))/((12a*b^4)))^{-2} is (16b^6)/(a^2)

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simplify (((3a^2b))/((12ab^4)))^{-2}

simplify

(\frac{( 3 a ^{2} \cdot b )}{( 12 a \cdot b ^{4} )})^{- 2}

\frac{16 b ^{6}}{a ^{2}}

Solution steps

(\frac{3 a ^{2} b}{12 a b ^{4}})^{- 2}

Apply exponent rule:

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

(\frac{3 a ^{2} b}{12 a b ^{4}})^{- 2} = \frac{1}{( \frac{3 a ^{2} b}{12 a b ^{4}} ) ^{2}}

= \frac{1}{( \frac{3 a ^{2} b}{12 a b ^{4}} ) ^{2}}

Simplify

(\frac{3 a ^{2} b}{12 a b ^{4}})^{2} : \frac{a ^{2}}{16 b ^{6}}

= \frac{1}{\frac{a ^{2}}{16 b ^{6}}}

Apply the fraction rule:

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

= \frac{16 b ^{6}}{a ^{2}}

15 x^{3} - 10 x^{2} + 5 x y

(a^{5})^{7}

- 9 x^{3} - 4

2 a^{3} + 16 b^{3} - 3 a - 6 b

(x - 3)^{2} - 16 y^{2}

What is (((3a^2*b))/((12a*b^4)))^{-2} ?
The solution to (((3a^2*b))/((12a*b^4)))^{-2} is (16b^6)/(a^2)