Solve (-gamma)^5divgamma^4

$$( - \gamma ) ^ { 5 } \div \gamma ^ { 4 }$$

Evaluate

$$-\gamma$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-\gamma ^{1}\right)^{5}\times \frac{1}{\gamma ^{4}}$$

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

$$-\left(\gamma ^{1}\right)^{5}\times \frac{1}{1}\times \frac{1}{\gamma ^{4}}$$

Use the Commutative Property of Multiplication.

$$-\frac{1}{1}\left(\gamma ^{1}\right)^{5}\times \frac{1}{\gamma ^{4}}$$

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

$$-\frac{1}{1}\gamma ^{5}\gamma ^{4\left(-1\right)}$$

Multiply 4 times -1.

$$-\frac{1}{1}\gamma ^{5}\gamma ^{-4}$$

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

$$-\frac{1}{1}\gamma ^{5-4}$$

Add the exponents 5 and -4.

$$-\frac{1}{1}\gamma ^{1}$$

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

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

Expand

$$-\gamma$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-\gamma ^{1}\right)^{5}\times \frac{1}{\gamma ^{4}}$$

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

$$-\left(\gamma ^{1}\right)^{5}\times \frac{1}{1}\times \frac{1}{\gamma ^{4}}$$

Use the Commutative Property of Multiplication.

$$-\frac{1}{1}\left(\gamma ^{1}\right)^{5}\times \frac{1}{\gamma ^{4}}$$

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

$$-\frac{1}{1}\gamma ^{5}\gamma ^{4\left(-1\right)}$$

Multiply 4 times -1.

$$-\frac{1}{1}\gamma ^{5}\gamma ^{-4}$$

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

$$-\frac{1}{1}\gamma ^{5-4}$$

Add the exponents 5 and -4.

$$-\frac{1}{1}\gamma ^{1}$$

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

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