Solve 15b^5/3b^5

$$\frac { 15 b ^ { 5 } } { 3 b ^ { 5 } }$$

Evaluate

$$5$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(15b^{5}\right)^{1}\times \frac{1}{3b^{5}}$$

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

$$15^{1}\left(b^{5}\right)^{1}\times \frac{1}{3}\times \frac{1}{b^{5}}$$

Use the Commutative Property of Multiplication.

$$15^{1}\times \frac{1}{3}\left(b^{5}\right)^{1}\times \frac{1}{b^{5}}$$

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

$$15^{1}\times \frac{1}{3}b^{5}b^{5\left(-1\right)}$$

Multiply 5 times -1.

$$15^{1}\times \frac{1}{3}b^{5}b^{-5}$$

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

$$15^{1}\times \frac{1}{3}b^{5-5}$$

Add the exponents 5 and -5.

$$15^{1}\times \frac{1}{3}b^{0}$$

Raise 15 to the power 1.

$$15\times \frac{1}{3}b^{0}$$

Multiply 15 times \frac{1}{3}.

$$5b^{0}$$

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

$$5\times 1$$

For any term t, t\times 1=t and 1t=t.

$$5$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{15^{1}b^{5}}{3^{1}b^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{15^{1}b^{5-5}}{3^{1}}$$

Subtract 5 from 5.

$$\frac{15^{1}b^{0}}{3^{1}}$$

For any number a except 0, a^{0}=1.

$$\frac{15^{1}}{3^{1}}$$

Divide 15 by 3.

$$5$$

Factor

$$5$$