Simplify a³/a¹: Step-by-Step Exponent Division

Question

Simplify the following:

$\frac{a^3}{a^1}=$

Video Solution

Solution Steps

00:00 Simply

00:03 When dividing powers with equal bases

00:07 The power of the result equals the difference of the powers

00:11 We'll use this formula in our exercise, and subtract the powers

00:14 And this is the solution to the question

Step-by-Step Solution

Since a division operation between two terms with identical bases is required, we will use the power property to divide between terms with identical bases:

$\frac{c^m}{c^n}=c^{m-n}$ Note that using this property is only possible when the division is performed between terms with identical bases.

We return to the problem and apply the power property:

$\frac{a^3}{a^1}=a^{3-1}=a^2$ Therefore, the correct answer is option A.

Answer

$a^2$

Related Subjects

Division of Exponents with the Same Base

Question Types

Power of a Quotient Rule for Exponents: Applying the formula