Solve (-5j^7k^8)^3

$$( - 5 j ^ { 7 } k ^ { 8 } ) ^ { 3 }$$

Evaluate

$$-125j^{21}k^{24}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-5j^{7}k^{8}\right)^{3}$$

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

$$\left(-5\right)^{3}\left(j^{7}\right)^{3}\left(k^{8}\right)^{3}$$

Raise -5 to the power 3.

$$-125\left(j^{7}\right)^{3}\left(k^{8}\right)^{3}$$

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

$$-125j^{7\times 3}k^{8\times 3}$$

Multiply 7 times 3.

$$-125j^{21}k^{8\times 3}$$

Multiply 8 times 3.

$$-125j^{21}k^{24}$$

Expand

$$-125j^{21}k^{24}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-5j^{7}k^{8}\right)^{3}$$

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

$$\left(-5\right)^{3}\left(j^{7}\right)^{3}\left(k^{8}\right)^{3}$$

Raise -5 to the power 3.

$$-125\left(j^{7}\right)^{3}\left(k^{8}\right)^{3}$$

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

$$-125j^{7\times 3}k^{8\times 3}$$

Multiply 7 times 3.

$$-125j^{21}k^{8\times 3}$$

Multiply 8 times 3.

$$-125j^{21}k^{24}$$