Solve 6b^4/15b^4

$$\frac { 6 b ^ { 4 } } { 15 b ^ { 4 } }$$

Evaluate

$$\frac{2}{5}=0.4$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(6b^{4}\right)^{1}\times \frac{1}{15b^{4}}$$

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

$$6^{1}\left(b^{4}\right)^{1}\times \frac{1}{15}\times \frac{1}{b^{4}}$$

Use the Commutative Property of Multiplication.

$$6^{1}\times \frac{1}{15}\left(b^{4}\right)^{1}\times \frac{1}{b^{4}}$$

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

$$6^{1}\times \frac{1}{15}b^{4}b^{4\left(-1\right)}$$

Multiply 4 times -1.

$$6^{1}\times \frac{1}{15}b^{4}b^{-4}$$

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

$$6^{1}\times \frac{1}{15}b^{4-4}$$

Add the exponents 4 and -4.

$$6^{1}\times \frac{1}{15}b^{0}$$

Raise 6 to the power 1.

$$6\times \frac{1}{15}b^{0}$$

Multiply 6 times \frac{1}{15}.

$$\frac{2}{5}b^{0}$$

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

$$\frac{2}{5}\times 1$$

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

$$\frac{2}{5}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{6^{1}b^{4}}{15^{1}b^{4}}$$

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

$$\frac{6^{1}b^{4-4}}{15^{1}}$$

Subtract 4 from 4.

$$\frac{6^{1}b^{0}}{15^{1}}$$

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

$$\frac{6^{1}}{15^{1}}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$