Solve (-r)^7divr^3

$$( - r ) ^ { 7 } \div r ^ { 3 }$$

Evaluate

$$-r^{4}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-r^{1}\right)^{7}\times \frac{1}{r^{3}}$$

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

$$-\left(r^{1}\right)^{7}\times \frac{1}{1}\times \frac{1}{r^{3}}$$

Use the Commutative Property of Multiplication.

$$-\frac{1}{1}\left(r^{1}\right)^{7}\times \frac{1}{r^{3}}$$

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

$$-\frac{1}{1}r^{7}r^{3\left(-1\right)}$$

Multiply 3 times -1.

$$-\frac{1}{1}r^{7}r^{-3}$$

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

$$-\frac{1}{1}r^{7-3}$$

Add the exponents 7 and -3.

$$-\frac{1}{1}r^{4}$$

Expand

$$-r^{4}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-r^{1}\right)^{7}\times \frac{1}{r^{3}}$$

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

$$-\left(r^{1}\right)^{7}\times \frac{1}{1}\times \frac{1}{r^{3}}$$

Use the Commutative Property of Multiplication.

$$-\frac{1}{1}\left(r^{1}\right)^{7}\times \frac{1}{r^{3}}$$

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

$$-\frac{1}{1}r^{7}r^{3\left(-1\right)}$$

Multiply 3 times -1.

$$-\frac{1}{1}r^{7}r^{-3}$$

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

$$-\frac{1}{1}r^{7-3}$$

Add the exponents 7 and -3.

$$-\frac{1}{1}r^{4}$$