Step by step solution to "Simplify the expression. Assume that the variables in..."

Kyran Hudson

Answered question

2021-08-13

Simplify the expression. Assume that the variables in the denominators are nonzero.

\frac{{(x^{- 3} y^{2})}^{- 4}}{{(y^{6} x^{- 4})}^{- 2}}

komunidadO

Skilled2021-08-14Added 86 answers

1. Multiply exponent by each term :

\frac{(x^{12} y^{- 8})}{(y^{- 12} x^{8})}

2. To make exponents positive, take reciprocal of the base number, and raise it to the corresponding positive power:

\frac{(x^{12} y^{12})}{(y^{8} x^{8})}

3. Then, divide powers, by subtracting the power in the denominator from the power in the numerator:

x^{12 - 8} y^{12 - 8}

Result :

x^{4} y^{4}

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