Solve (+3/4a^4)^3

$$( + \frac { 3 } { 4 } a ^ { 4 } ) ^ { 3 }$$

Evaluate

$$\frac{27a^{12}}{64}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{3}{4}a^{4}\right)^{3}$$

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

$$\left(\frac{3}{4}\right)^{3}\left(a^{4}\right)^{3}$$

Raise \frac{3}{4} to the power 3.

$$\frac{27}{64}\left(a^{4}\right)^{3}$$

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

$$\frac{27}{64}a^{4\times 3}$$

Multiply 4 times 3.

$$\frac{27}{64}a^{12}$$

Expand

$$\frac{27a^{12}}{64}$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{3}{4}a^{4}\right)^{3}$$

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

$$\left(\frac{3}{4}\right)^{3}\left(a^{4}\right)^{3}$$

Raise \frac{3}{4} to the power 3.

$$\frac{27}{64}\left(a^{4}\right)^{3}$$

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

$$\frac{27}{64}a^{4\times 3}$$

Multiply 4 times 3.

$$\frac{27}{64}a^{12}$$