Solve left(Qr^-3s^11right)^12

$${ \left(Q { r }^{ -3 } { s }^{ 11 } \right) }^{ 12 }$$

Evaluate

$$\frac{Q^{12}s^{132}}{r^{36}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(Q^{1}r^{-3}s^{11}\right)^{12}$$

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

$$1^{12}\left(Q^{1}\right)^{12}\left(r^{-3}\right)^{12}\left(s^{11}\right)^{12}$$

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

$$Q^{12}r^{-3\times 12}s^{11\times 12}$$

Multiply -3 times 12.

$$Q^{12}\times \frac{1}{r^{36}}s^{11\times 12}$$

Multiply 11 times 12.

$$Q^{12}\times \frac{1}{r^{36}}s^{132}$$

Expand

$$\frac{Q^{12}s^{132}}{r^{36}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(Q^{1}r^{-3}s^{11}\right)^{12}$$

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

$$1^{12}\left(Q^{1}\right)^{12}\left(r^{-3}\right)^{12}\left(s^{11}\right)^{12}$$

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

$$Q^{12}r^{-3\times 12}s^{11\times 12}$$

Multiply -3 times 12.

$$Q^{12}\times \frac{1}{r^{36}}s^{11\times 12}$$

Multiply 11 times 12.

$$Q^{12}\times \frac{1}{r^{36}}s^{132}$$