Solve (a^4b^5c^6)^2

$$( a ^ { 4 } b ^ { 5 } c ^ { 6 } ) ^ { 2 }$$

Evaluate

$$a^{8}b^{10}c^{12}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(a^{4}b^{5}c^{6}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$1^{2}\left(a^{4}\right)^{2}\left(b^{5}\right)^{2}\left(c^{6}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$a^{4\times 2}b^{5\times 2}c^{6\times 2}$$

Multiply 4 times 2.

$$a^{8}b^{5\times 2}c^{6\times 2}$$

Multiply 5 times 2.

$$a^{8}b^{10}c^{6\times 2}$$

Multiply 6 times 2.

$$a^{8}b^{10}c^{12}$$

Expand

$$a^{8}b^{10}c^{12}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(a^{4}b^{5}c^{6}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$1^{2}\left(a^{4}\right)^{2}\left(b^{5}\right)^{2}\left(c^{6}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$a^{4\times 2}b^{5\times 2}c^{6\times 2}$$

Multiply 4 times 2.

$$a^{8}b^{5\times 2}c^{6\times 2}$$

Multiply 5 times 2.

$$a^{8}b^{10}c^{6\times 2}$$

Multiply 6 times 2.

$$a^{8}b^{10}c^{12}$$