Solve (a^2)^3*(ab)^3

$$( a ^ { 2 } ) ^ { 3 } \cdot ( a b ) ^ { 3 }$$

Evaluate

$$b^{3}a^{9}$$

Solution Steps

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

$$a^{6}\left(ab\right)^{3}$$

Expand \left(ab\right)^{3}.

$$a^{6}a^{3}b^{3}$$

To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.

$$a^{9}b^{3}$$

Expand

$$b^{3}a^{9}$$

Solution Steps

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

$$a^{6}\left(ab\right)^{3}$$

Expand \left(ab\right)^{3}.

$$a^{6}a^{3}b^{3}$$

To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.

$$a^{9}b^{3}$$