Solve 12p^-11/4p^-11

$$\frac { 12 p ^ { - 11 } } { 4 p ^ { - 11 } }$$

Evaluate

$$3$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(12p^{-11}\right)^{1}\times \frac{1}{4p^{-11}}$$

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

$$12^{1}\left(p^{-11}\right)^{1}\times \frac{1}{4}\times \frac{1}{p^{-11}}$$

Use the Commutative Property of Multiplication.

$$12^{1}\times \frac{1}{4}\left(p^{-11}\right)^{1}\times \frac{1}{p^{-11}}$$

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

$$12^{1}\times \frac{1}{4}p^{-11}p^{-11\left(-1\right)}$$

Multiply -11 times -1.

$$12^{1}\times \frac{1}{4}p^{-11}p^{11}$$

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

$$12^{1}\times \frac{1}{4}p^{-11+11}$$

Add the exponents -11 and 11.

$$12^{1}\times \frac{1}{4}p^{0}$$

Raise 12 to the power 1.

$$12\times \frac{1}{4}p^{0}$$

Multiply 12 times \frac{1}{4}.

$$3p^{0}$$

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

$$3\times 1$$

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

$$3$$

Factor

$$3$$