Solve (-a)^5/a^5

$$\frac { ( - a ) ^ { 5 } } { a ^ { 5 } }$$

Evaluate

$$-1$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-a^{1}\right)^{5}\times \frac{1}{a^{5}}$$

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

$$-\left(a^{1}\right)^{5}\times \frac{1}{1}\times \frac{1}{a^{5}}$$

Use the Commutative Property of Multiplication.

$$-\frac{1}{1}\left(a^{1}\right)^{5}\times \frac{1}{a^{5}}$$

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

$$-\frac{1}{1}a^{5}a^{5\left(-1\right)}$$

Multiply 5 times -1.

$$-\frac{1}{1}a^{5}a^{-5}$$

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

$$-\frac{1}{1}a^{5-5}$$

Add the exponents 5 and -5.

$$-\frac{1}{1}a^{0}$$

For any term t except 0, t^{0}=1.

$$-\frac{1}{1}$$

Factor

$$-1$$