Solve 4n^6/16n^6=

$$\frac { 4 n ^ { 6 } } { 16 n ^ { 6 } } =$$

Evaluate

$$\frac{1}{4}=0.25$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(4n^{6}\right)^{1}\times \frac{1}{16n^{6}}$$

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

$$4^{1}\left(n^{6}\right)^{1}\times \frac{1}{16}\times \frac{1}{n^{6}}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times \frac{1}{16}\left(n^{6}\right)^{1}\times \frac{1}{n^{6}}$$

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

$$4^{1}\times \frac{1}{16}n^{6}n^{6\left(-1\right)}$$

Multiply 6 times -1.

$$4^{1}\times \frac{1}{16}n^{6}n^{-6}$$

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

$$4^{1}\times \frac{1}{16}n^{6-6}$$

Add the exponents 6 and -6.

$$4^{1}\times \frac{1}{16}n^{0}$$

Raise 4 to the power 1.

$$4\times \frac{1}{16}n^{0}$$

Multiply 4 times \frac{1}{16}.

$$\frac{1}{4}n^{0}$$

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

$$\frac{1}{4}\times 1$$

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

$$\frac{1}{4}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{4^{1}n^{6}}{16^{1}n^{6}}$$

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

$$\frac{4^{1}n^{6-6}}{16^{1}}$$

Subtract 6 from 6.

$$\frac{4^{1}n^{0}}{16^{1}}$$

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

$$\frac{4^{1}}{16^{1}}$$

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$