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Popular >

simplify (x^2y^{-1})^2

Solution

simplify

(x^{2} y^{- 1})^{2}

Solution

\frac{x ^{4}}{y ^{2}}

Solution steps

(x^{2} y^{- 1})^{2}

Apply exponent rule:

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

(x^{2} y^{- 1})^{2} = (x^{2})^{2} (y^{- 1})^{2}

= (x^{2})^{2} (y^{- 1})^{2}

Simplify

(x^{2})^{2} : x^{4}

= x^{4} (y^{- 1})^{2}

Simplify

(y^{- 1})^{2} : \frac{1}{y ^{2}}

= x^{4} \frac{1}{y ^{2}}

Simplify

x^{4} \frac{1}{y ^{2}} : \frac{x ^{4}}{y ^{2}}

= \frac{x ^{4}}{y ^{2}}

Popular Examples

3/4-(x+1}{12}= 2/3-\frac{x-1)/6

\frac{3}{4} - \frac{x + 1}{12} = \frac{2}{3} - \frac{x - 1}{6}

- 10 x = - 210

factor i^{4k+5}+i^{8k+23}-i^{4k-2}factor

i^{4 k + 5} + i^{8 k + 23} - i^{4 k - 2}

2 0^{2} + 1 5^{2} = x^{2}

x^{2} + x - 1 \geq 0

Frequently Asked Questions (FAQ)

What is (x^2y^{-1})^2 ?
The solution to (x^2y^{-1})^2 is (x^4)/(y^2)