Solve (x^15*y*z^-7)^4=

$$( x ^ { 15 } \cdot y \cdot z ^ { - 7 } ) ^ { 4 } =$$

Evaluate

$$\frac{y^{4}x^{60}}{z^{28}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(x^{15}y^{1}z^{-7}\right)^{4}$$

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

$$1^{4}\left(x^{15}\right)^{4}\left(y^{1}\right)^{4}\left(z^{-7}\right)^{4}$$

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

$$x^{15\times 4}y^{4}z^{-7\times 4}$$

Multiply 15 times 4.

$$x^{60}y^{4}z^{-7\times 4}$$

Multiply -7 times 4.

$$x^{60}y^{4}\times \frac{1}{z^{28}}$$

Expand

$$\frac{y^{4}x^{60}}{z^{28}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(x^{15}y^{1}z^{-7}\right)^{4}$$

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

$$1^{4}\left(x^{15}\right)^{4}\left(y^{1}\right)^{4}\left(z^{-7}\right)^{4}$$

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

$$x^{15\times 4}y^{4}z^{-7\times 4}$$

Multiply 15 times 4.

$$x^{60}y^{4}z^{-7\times 4}$$

Multiply -7 times 4.

$$x^{60}y^{4}\times \frac{1}{z^{28}}$$