Solve (5x^0y^6z^-3)^2

$$( 5 x ^ { 0 } y ^ { 6 } z ^ { - 3 } ) ^ { 2 }$$

Evaluate

$$\frac{25y^{12}}{z^{6}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(5x^{0}y^{6}z^{-3}\right)^{2}$$

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

$$5^{2}\left(x^{0}\right)^{2}\left(y^{6}\right)^{2}\left(z^{-3}\right)^{2}$$

Raise 5 to the power 2.

$$25\left(x^{0}\right)^{2}\left(y^{6}\right)^{2}\left(z^{-3}\right)^{2}$$

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

$$25x^{0}y^{6\times 2}z^{-3\times 2}$$

Multiply 0 times 2.

$$25y^{6\times 2}z^{-3\times 2}$$

Multiply 6 times 2.

$$25y^{12}z^{-3\times 2}$$

Multiply -3 times 2.

$$25y^{12}\times \frac{1}{z^{6}}$$

Expand

$$\frac{25y^{12}}{z^{6}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(5x^{0}y^{6}z^{-3}\right)^{2}$$

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

$$5^{2}\left(x^{0}\right)^{2}\left(y^{6}\right)^{2}\left(z^{-3}\right)^{2}$$

Raise 5 to the power 2.

$$25\left(x^{0}\right)^{2}\left(y^{6}\right)^{2}\left(z^{-3}\right)^{2}$$

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

$$25x^{0}y^{6\times 2}z^{-3\times 2}$$

Multiply 0 times 2.

$$25y^{6\times 2}z^{-3\times 2}$$

Multiply 6 times 2.

$$25y^{12}z^{-3\times 2}$$

Multiply -3 times 2.

$$25y^{12}\times \frac{1}{z^{6}}$$