What is (2x^{-2}y^0)/((2x^{-3)y^0)^2} ?

The solution to (2x^{-2}y^0)/((2x^{-3)y^0)^2} is (x^4)/2

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simplify (2x^{-2}y^0)/((2x^{-3)y^0)^2}

simplify

\frac{2 x ^{- 2} y ^{0}}{( 2 x ^{- 3} y ^{0} ) ^{2}}

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

Solution steps

\frac{2 x ^{- 2} y ^{0}}{( 2 x ^{- 3} y ^{0} ) ^{2}}

Simplify

\frac{2 x ^{- 2} y ^{0}}{( 2 x ^{- 3} y ^{0} ) ^{2}} : \frac{2 x ^{- 2}}{( 2 x ^{- 3} ) ^{2}}

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

Simplify

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

= \frac{2 x ^{- 2}}{2 ^{2} \cdot \frac{1}{x ^{6}}}

\frac{2}{2 ^{2}} = \frac{1}{2}

= \frac{x ^{- 2}}{2 \cdot \frac{1}{x ^{6}}}

Simplify

\frac{x ^{- 2}}{2 \cdot \frac{1}{x ^{6}}} : \frac{x ^{4}}{2}

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

5 - \frac{5}{2}

4096

\frac{2 x - 3}{3} = ∣ x + 4 ∣

4 x^{2} - 8 x y + 3 y^{2}

6 a^{2} = 150

What is (2x^{-2}y^0)/((2x^{-3)y^0)^2} ?
The solution to (2x^{-2}y^0)/((2x^{-3)y^0)^2} is (x^4)/2