Solve (a^0b^2c^4)^3

$$( a ^ { 0 } b ^ { 2 } c ^ { 4 } ) ^ { 3 }$$

Evaluate

$$b^{6}c^{12}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(a^{0}b^{2}c^{4}\right)^{3}$$

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

$$1^{3}\left(a^{0}\right)^{3}\left(b^{2}\right)^{3}\left(c^{4}\right)^{3}$$

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

$$a^{0}b^{2\times 3}c^{4\times 3}$$

Multiply 0 times 3.

$$b^{2\times 3}c^{4\times 3}$$

Multiply 2 times 3.

$$b^{6}c^{4\times 3}$$

Multiply 4 times 3.

$$b^{6}c^{12}$$

Expand

$$b^{6}c^{12}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(a^{0}b^{2}c^{4}\right)^{3}$$

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

$$1^{3}\left(a^{0}\right)^{3}\left(b^{2}\right)^{3}\left(c^{4}\right)^{3}$$

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

$$a^{0}b^{2\times 3}c^{4\times 3}$$

Multiply 0 times 3.

$$b^{2\times 3}c^{4\times 3}$$

Multiply 2 times 3.

$$b^{6}c^{4\times 3}$$

Multiply 4 times 3.

$$b^{6}c^{12}$$