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

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

Evaluate

$$\frac{4x^{3}}{y^{2}}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

$$\left(4x^{3}y^{-2}\right)^{1}$$

Calculate 4x^{3}y^{-2} to the power of 1 and get 4x^{3}y^{-2}.

$$4x^{3}y^{-2}$$

Expand

$$\frac{4x^{3}}{y^{2}}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

$$\left(4x^{3}y^{-2}\right)^{1}$$

Calculate 4x^{3}y^{-2} to the power of 1 and get 4x^{3}y^{-2}.

$$4x^{3}y^{-2}$$