Simplify the Expression: a^7 Divided by a^3

Question

Simplify the following:

$\frac{a^7}{a^3}=$

Video Solution

Solution Steps

00:00 Simply

00:03 If we divide powers with equal bases

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

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

00:15 And this is the solution to the question

Step-by-Step Solution

Sincw 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:

$\frac{a^7}{a^3}=a^{7-3}=a^4$ Therefore, the correct answer is option C.

Answer

$a^4$

Related Subjects

Division of Exponents with the Same Base

Question Types

Power of a Quotient Rule for Exponents: Applying the formula