Solve -u^7*(-2u^0)^-7

$$- u ^ { 7 } \cdot ( - 2 u ^ { 0 } ) ^ { - 7 }$$

Evaluate

$$\frac{u^{7}}{128}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-u^{7}\right)^{1}\left(-2u^{0}\right)^{-7}$$

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

$$-\left(u^{7}\right)^{1}\left(-2\right)^{-7}\left(u^{0}\right)^{-7}$$

Use the Commutative Property of Multiplication.

$$-\left(-2\right)^{-7}\left(u^{7}\right)^{1}\left(u^{0}\right)^{-7}$$

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

$$-\left(-2\right)^{-7}u^{7}u^{0}$$

To multiply powers of the same base, add their exponents.

$$-\left(-2\right)^{-7}u^{7}$$

Raise -2 to the power -7.

$$-\left(-\frac{1}{128}\right)u^{7}$$

Multiply -1 times -\frac{1}{128}.

$$\frac{1}{128}u^{7}$$

Expand

$$\frac{u^{7}}{128}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-u^{7}\right)^{1}\left(-2u^{0}\right)^{-7}$$

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

$$-\left(u^{7}\right)^{1}\left(-2\right)^{-7}\left(u^{0}\right)^{-7}$$

Use the Commutative Property of Multiplication.

$$-\left(-2\right)^{-7}\left(u^{7}\right)^{1}\left(u^{0}\right)^{-7}$$

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

$$-\left(-2\right)^{-7}u^{7}u^{0}$$

To multiply powers of the same base, add their exponents.

$$-\left(-2\right)^{-7}u^{7}$$

Raise -2 to the power -7.

$$-\left(-\frac{1}{128}\right)u^{7}$$

Multiply -1 times -\frac{1}{128}.

$$\frac{1}{128}u^{7}$$