Solve (a^3)^2div(-a^2)^2

$$( a ^ { 3 } ) ^ { 2 } \div ( - a ^ { 2 } ) ^ { 2 }$$

Evaluate

$$a^{2}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{a^{6}}{\left(-a^{2}\right)^{2}}$$

Calculate -a^{2} to the power of 2 and get \left(a^{2}\right)^{2}.

$$\frac{a^{6}}{\left(a^{2}\right)^{2}}$$

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

$$\frac{a^{6}}{a^{4}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 6 to get 2.

$$a^{2}$$

Expand

$$a^{2}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{a^{6}}{\left(-a^{2}\right)^{2}}$$

Calculate -a^{2} to the power of 2 and get \left(a^{2}\right)^{2}.

$$\frac{a^{6}}{\left(a^{2}\right)^{2}}$$

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

$$\frac{a^{6}}{a^{4}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 6 to get 2.

$$a^{2}$$