Solve (b^4y^3)^5

$$( b ^ { 4 } y ^ { 3 } ) ^ { 5 }$$

Evaluate

$$y^{15}b^{20}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(b^{4}y^{3}\right)^{5}$$

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

$$\left(b^{4}\right)^{5}\left(y^{3}\right)^{5}$$

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

$$b^{4\times 5}y^{3\times 5}$$

Multiply 4 times 5.

$$b^{20}y^{3\times 5}$$

Multiply 3 times 5.

$$b^{20}y^{15}$$

Expand

$$y^{15}b^{20}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(b^{4}y^{3}\right)^{5}$$

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

$$\left(b^{4}\right)^{5}\left(y^{3}\right)^{5}$$

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

$$b^{4\times 5}y^{3\times 5}$$

Multiply 4 times 5.

$$b^{20}y^{3\times 5}$$

Multiply 3 times 5.

$$b^{20}y^{15}$$