Solve frac{(w^{2}x)^2}{(x^-1)^2v^2}

$$\frac { ( w ^ { 2 } x ) ^ { 2 } } { ( x ^ { - 1 } ) ^ { 2 } v ^ { 2 } }$$

Evaluate

$$\frac{\left(wx\right)^{4}}{v^{2}}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -1 and 2 to get -2.

$$\frac{\left(w^{2}x\right)^{2}}{x^{-2}v^{2}}$$

Expand \left(w^{2}x\right)^{2}.

$$\frac{\left(w^{2}\right)^{2}x^{2}}{x^{-2}v^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{w^{4}x^{2}}{x^{-2}v^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{w^{4}x^{4}}{v^{2}}$$

Expand

$$\frac{\left(wx\right)^{4}}{v^{2}}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -1 and 2 to get -2.

$$\frac{\left(w^{2}x\right)^{2}}{x^{-2}v^{2}}$$

Expand \left(w^{2}x\right)^{2}.

$$\frac{\left(w^{2}\right)^{2}x^{2}}{x^{-2}v^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{w^{4}x^{2}}{x^{-2}v^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{w^{4}x^{4}}{v^{2}}$$