Solve 2(a^3c^2)^2

$$2 ( a ^ { 3 } c ^ { 2 } ) ^ { 2 }$$

Evaluate

$$2c^{4}a^{6}$$

Solution Steps

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

$$2\left(a^{3}\right)^{2}\left(c^{2}\right)^{2}$$

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

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

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

$$2a^{6}c^{4}$$

Expand

$$2c^{4}a^{6}$$

Solution Steps

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

$$2\left(a^{3}\right)^{2}\left(c^{2}\right)^{2}$$

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

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

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

$$2a^{6}c^{4}$$