Solve (a^-3/b^4)^6=?

$$( \frac { a ^ { - 3 } } { b ^ { 4 } } ) ^ { 6 } = ?$$

Evaluate

$$\frac{1}{a^{18}b^{24}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{a^{-3}}{b^{4}}\right)^{6}$$

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

$$\frac{\left(a^{-3}\right)^{6}}{\left(b^{4}\right)^{6}}$$

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

$$\frac{a^{-3\times 6}}{b^{4\times 6}}$$

Multiply -3 times 6.

$$\frac{a^{-18}}{b^{4\times 6}}$$

Multiply 4 times 6.

$$\frac{1}{a^{18}b^{24}}$$

Expand

$$\frac{1}{a^{18}b^{24}}$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{a^{-3}}{b^{4}}\right)^{6}$$

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

$$\frac{\left(a^{-3}\right)^{6}}{\left(b^{4}\right)^{6}}$$

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

$$\frac{a^{-3\times 6}}{b^{4\times 6}}$$

Multiply -3 times 6.

$$\frac{a^{-18}}{b^{4\times 6}}$$

Multiply 4 times 6.

$$\frac{1}{a^{18}b^{24}}$$