What is (2x^{-2}+3)^{-3} ?

The solution to (2x^{-2}+3)^{-3} is (x^6)/((3x^2+2)^3)

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simplify (2x^{-2}+3)^{-3}

simplify

(2 x^{- 2} + 3)^{- 3}

\frac{x ^{6}}{( 3 x ^{2} + 2 ) ^{3}}

Solution steps

(2 x^{- 2} + 3)^{- 3}

Apply exponent rule:

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

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

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

Simplify

(2 x^{- 2} + 3)^{3} : \frac{( 3 x ^{2} + 2 ) ^{3}}{x ^{6}}

= \frac{1}{\frac{( 3 x ^{2} + 2 ) ^{3}}{x ^{6}}}

Apply the fraction rule:

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

= \frac{x ^{6}}{( 3 x ^{2} + 2 ) ^{3}}

\int \frac{1}{1 0 ^{5} x - x ^{2}} d x

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

y^{^{'}} = y (x y^{6} + 3)

2 x^{^{''}} + 40 x = 0

\frac{x - 5}{x + 5}

What is (2x^{-2}+3)^{-3} ?
The solution to (2x^{-2}+3)^{-3} is (x^6)/((3x^2+2)^3)