Solve (m^3n^5y^2)^4

$$( m ^ { 3 } n ^ { 5 } y ^ { 2 } ) ^ { 4 }$$

Evaluate

$$y^{8}m^{12}n^{20}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(m^{3}n^{5}y^{2}\right)^{4}$$

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

$$1^{4}\left(m^{3}\right)^{4}\left(n^{5}\right)^{4}\left(y^{2}\right)^{4}$$

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

$$m^{3\times 4}n^{5\times 4}y^{2\times 4}$$

Multiply 3 times 4.

$$m^{12}n^{5\times 4}y^{2\times 4}$$

Multiply 5 times 4.

$$m^{12}n^{20}y^{2\times 4}$$

Multiply 2 times 4.

$$m^{12}n^{20}y^{8}$$

Expand

$$y^{8}m^{12}n^{20}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(m^{3}n^{5}y^{2}\right)^{4}$$

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

$$1^{4}\left(m^{3}\right)^{4}\left(n^{5}\right)^{4}\left(y^{2}\right)^{4}$$

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

$$m^{3\times 4}n^{5\times 4}y^{2\times 4}$$

Multiply 3 times 4.

$$m^{12}n^{5\times 4}y^{2\times 4}$$

Multiply 5 times 4.

$$m^{12}n^{20}y^{2\times 4}$$

Multiply 2 times 4.

$$m^{12}n^{20}y^{8}$$