Solve (-1.2uy^4)^2

$$( - 1.2 u y ^ { 4 } ) ^ { 2 }$$

Evaluate

$$\frac{36u^{2}y^{8}}{25}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-1.2u^{1}y^{4}\right)^{2}$$

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

$$\left(-1.2\right)^{2}\left(u^{1}\right)^{2}\left(y^{4}\right)^{2}$$

Raise -1.2 to the power 2.

$$1.44\left(u^{1}\right)^{2}\left(y^{4}\right)^{2}$$

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

$$1.44u^{2}y^{4\times 2}$$

Multiply 4 times 2.

$$1.44u^{2}y^{8}$$

Expand

$$\frac{36u^{2}y^{8}}{25}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(-1.2u^{1}y^{4}\right)^{2}$$

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

$$\left(-1.2\right)^{2}\left(u^{1}\right)^{2}\left(y^{4}\right)^{2}$$

Raise -1.2 to the power 2.

$$1.44\left(u^{1}\right)^{2}\left(y^{4}\right)^{2}$$

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

$$1.44u^{2}y^{4\times 2}$$

Multiply 4 times 2.

$$1.44u^{2}y^{8}$$