Solve (-a)^2015*(1/a)^2016

$$( - a ) ^ { 2015 } \cdot ( \frac { 1 } { a } ) ^ { 2016 }$$

Evaluate

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

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-a^{1}\right)^{2015}\times \left(\frac{1}{a}\right)^{2016}$$

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

$$-\left(a^{1}\right)^{2015}\times 1^{2016}\times \left(\frac{1}{a}\right)^{2016}$$

Use the Commutative Property of Multiplication.

$$-1^{2016}\left(a^{1}\right)^{2015}\times \left(\frac{1}{a}\right)^{2016}$$

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

$$-1^{2016}a^{2015}a^{-2016}$$

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

$$-1^{2016}a^{2015-2016}$$

Add the exponents 2015 and -2016.

$$-1^{2016}\times \frac{1}{a}$$

Expand

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

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-a^{1}\right)^{2015}\times \left(\frac{1}{a}\right)^{2016}$$

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

$$-\left(a^{1}\right)^{2015}\times 1^{2016}\times \left(\frac{1}{a}\right)^{2016}$$

Use the Commutative Property of Multiplication.

$$-1^{2016}\left(a^{1}\right)^{2015}\times \left(\frac{1}{a}\right)^{2016}$$

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

$$-1^{2016}a^{2015}a^{-2016}$$

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

$$-1^{2016}a^{2015-2016}$$

Add the exponents 2015 and -2016.

$$-1^{2016}\times \frac{1}{a}$$