Solve (ab^2)^4div(ab^2)^2=

$$( a b ^ { 2 } ) ^ { 4 } \div ( a b ^ { 2 } ) ^ { 2 } =$$

Evaluate

$$a^{2}b^{4}$$

Solution Steps

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

$$\left(ab^{2}\right)^{2}$$

Expand \left(ab^{2}\right)^{2}.

$$a^{2}\left(b^{2}\right)^{2}$$

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

$$a^{2}b^{4}$$

Expand

$$a^{2}b^{4}$$

Solution Steps

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

$$\left(ab^{2}\right)^{2}$$

Expand \left(ab^{2}\right)^{2}.

$$a^{2}\left(b^{2}\right)^{2}$$

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

$$a^{2}b^{4}$$