Solve 5n^3/3(n)^3

$$\frac { 5 n ^ { 3 } } { 3 ( n ) ^ { 3 } }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

Multiply 3 times -1.

$$5^{1}\times \frac{1}{3}n^{3}n^{-3}$$

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

$$5^{1}\times \frac{1}{3}n^{3-3}$$

Add the exponents 3 and -3.

$$5^{1}\times \frac{1}{3}n^{0}$$

Raise 5 to the power 1.

$$5\times \frac{1}{3}n^{0}$$

Multiply 5 times \frac{1}{3}.

$$\frac{5}{3}n^{0}$$

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

$$\frac{5}{3}\times 1$$

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

$$\frac{5}{3}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{5^{1}n^{3}}{3^{1}n^{3}}$$

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

$$\frac{5^{1}n^{3-3}}{3^{1}}$$

Subtract 3 from 3.

$$\frac{5^{1}n^{0}}{3^{1}}$$

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

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

Divide 5 by 3.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$