Solve 18r^3/42r^3

$$\frac { 18 r ^ { 3 } } { 42 r ^ { 3 } }$$

Evaluate

$$\frac{3}{7}\approx 0.428571429$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(18r^{3}\right)^{1}\times \frac{1}{42r^{3}}$$

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

$$18^{1}\left(r^{3}\right)^{1}\times \frac{1}{42}\times \frac{1}{r^{3}}$$

Use the Commutative Property of Multiplication.

$$18^{1}\times \frac{1}{42}\left(r^{3}\right)^{1}\times \frac{1}{r^{3}}$$

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

$$18^{1}\times \frac{1}{42}r^{3}r^{3\left(-1\right)}$$

Multiply 3 times -1.

$$18^{1}\times \frac{1}{42}r^{3}r^{-3}$$

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

$$18^{1}\times \frac{1}{42}r^{3-3}$$

Add the exponents 3 and -3.

$$18^{1}\times \frac{1}{42}r^{0}$$

Raise 18 to the power 1.

$$18\times \frac{1}{42}r^{0}$$

Multiply 18 times \frac{1}{42}.

$$\frac{3}{7}r^{0}$$

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

$$\frac{3}{7}\times 1$$

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

$$\frac{3}{7}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{18^{1}r^{3}}{42^{1}r^{3}}$$

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

$$\frac{18^{1}r^{3-3}}{42^{1}}$$

Subtract 3 from 3.

$$\frac{18^{1}r^{0}}{42^{1}}$$

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

$$\frac{18^{1}}{42^{1}}$$

Reduce the fraction \frac{18}{42} to lowest terms by extracting and canceling out 6.

$$\frac{3}{7}$$

Factor

$$\frac{3}{7} = 0.42857142857142855$$