What is (2x-5)^4(8x^2-5)^{-3} ?

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

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simplify (2x-5)^4(8x^2-5)^{-3}

simplify

(2 x - 5)^{4} (8 x^{2} - 5)^{- 3}

\frac{( 2 x - 5 ) ^{4}}{( 8 x ^{2} - 5 ) ^{3}}

Solution steps

(2 x - 5)^{4} (8 x^{2} - 5)^{- 3}

Apply exponent rule:

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

(8 x^{2} - 5)^{- 3} = \frac{1}{( 8 x ^{2} - 5 ) ^{3}}

= (2 x - 5)^{4} \frac{1}{( 8 x ^{2} - 5 ) ^{3}}

Apply the fraction rule:

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

= \frac{( 2 x - 5 ) ^{4} \cdot 1}{( 8 x ^{2} - 5 ) ^{3}}

Apply rule:

a \cdot 1 = a

(2 x - 5)^{4} \cdot 1 = (2 x - 5)^{4}

= \frac{( 2 x - 5 ) ^{4}}{( 8 x ^{2} - 5 ) ^{3}}

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