Solve (-5x^2z)^3

$$( - 5 x ^ { 2 } z ) ^ { 3 }$$

Evaluate

$$-125z^{3}x^{6}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-5x^{2}z^{1}\right)^{3}$$

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

$$\left(-5\right)^{3}\left(x^{2}\right)^{3}\left(z^{1}\right)^{3}$$

Raise -5 to the power 3.

$$-125\left(x^{2}\right)^{3}\left(z^{1}\right)^{3}$$

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

$$-125x^{2\times 3}z^{3}$$

Multiply 2 times 3.

$$-125x^{6}z^{3}$$

Expand

$$-125z^{3}x^{6}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-5x^{2}z^{1}\right)^{3}$$

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

$$\left(-5\right)^{3}\left(x^{2}\right)^{3}\left(z^{1}\right)^{3}$$

Raise -5 to the power 3.

$$-125\left(x^{2}\right)^{3}\left(z^{1}\right)^{3}$$

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

$$-125x^{2\times 3}z^{3}$$

Multiply 2 times 3.

$$-125x^{6}z^{3}$$