Solve (-3/2x^4)^3

$$( - \frac { 3 } { 2 } x ^ { 4 } ) ^ { 3 }$$

Evaluate

$$-\frac{27x^{12}}{8}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(-\frac{3}{2}x^{4}\right)^{3}$$

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

$$\left(-\frac{3}{2}\right)^{3}\left(x^{4}\right)^{3}$$

Raise -\frac{3}{2} to the power 3.

$$-\frac{27}{8}\left(x^{4}\right)^{3}$$

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

$$-\frac{27}{8}x^{4\times 3}$$

Multiply 4 times 3.

$$-\frac{27}{8}x^{12}$$

Expand

$$-\frac{27x^{12}}{8}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(-\frac{3}{2}x^{4}\right)^{3}$$

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

$$\left(-\frac{3}{2}\right)^{3}\left(x^{4}\right)^{3}$$

Raise -\frac{3}{2} to the power 3.

$$-\frac{27}{8}\left(x^{4}\right)^{3}$$

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

$$-\frac{27}{8}x^{4\times 3}$$

Multiply 4 times 3.

$$-\frac{27}{8}x^{12}$$