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Popular >

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

Solution

simplify

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

Solution

\frac{25 y ^{8}}{x ^{6}}

Solution steps

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

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 5 x^{- 3} y^{4})^{2} = (5 x^{- 3} y^{4})^{2}

= (5 x^{- 3} y^{4})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 x^{- 3} y^{4})^{2} = 5^{2} (x^{- 3})^{2} (y^{4})^{2}

= 5^{2} (x^{- 3})^{2} (y^{4})^{2}

5^{2} = 25

= 25 (x^{- 3})^{2} (y^{4})^{2}

Simplify

(x^{- 3})^{2} : \frac{1}{x ^{6}}

= 25 \cdot \frac{1}{x ^{6}} (y^{4})^{2}

Simplify

(y^{4})^{2} : y^{8}

= 25 \cdot \frac{1}{x ^{6}} y^{8}

Simplify

25 \cdot \frac{1}{x ^{6}} y^{8} : \frac{25 y ^{8}}{x ^{6}}

= \frac{25 y ^{8}}{x ^{6}}

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Frequently Asked Questions (FAQ)

What is (-5x^{-3}y^4)^2 ?
The solution to (-5x^{-3}y^4)^2 is (25y^8)/(x^6)