Solve (-3a^2x)^2:(-ax)^2

$$( - 3 a ^ { 2 } x ) ^ { 2 } : ( - a x ) ^ { 2 }$$

Evaluate

$$9a^{2}$$

Solution Steps

Expand \left(-3a^{2}x\right)^{2}.

$$\frac{\left(-3\right)^{2}\left(a^{2}\right)^{2}x^{2}}{\left(\left(-a\right)x\right)^{2}}$$

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

$$\frac{\left(-3\right)^{2}a^{4}x^{2}}{\left(\left(-a\right)x\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{9a^{4}x^{2}}{\left(\left(-a\right)x\right)^{2}}$$

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

$$\frac{9a^{4}x^{2}}{\left(-a\right)^{2}x^{2}}$$

Calculate -a to the power of 2 and get a^{2}.

$$\frac{9a^{4}x^{2}}{a^{2}x^{2}}$$

Cancel out a^{2}x^{2} in both numerator and denominator.

$$9a^{2}$$

Expand

$$9a^{2}$$

Solution Steps

Expand \left(-3a^{2}x\right)^{2}.

$$\frac{\left(-3\right)^{2}\left(a^{2}\right)^{2}x^{2}}{\left(\left(-a\right)x\right)^{2}}$$

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

$$\frac{\left(-3\right)^{2}a^{4}x^{2}}{\left(\left(-a\right)x\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{9a^{4}x^{2}}{\left(\left(-a\right)x\right)^{2}}$$

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

$$\frac{9a^{4}x^{2}}{\left(-a\right)^{2}x^{2}}$$

Calculate -a to the power of 2 and get a^{2}.

$$\frac{9a^{4}x^{2}}{a^{2}x^{2}}$$

Cancel out a^{2}x^{2} in both numerator and denominator.

$$9a^{2}$$