Simplify the Expression: a^9 Divided by a^x Step-by-Step

Question

Simplify the following expression:

$\frac{a^9}{a^x}$

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

In the question there is a fraction that has terms with identical bases in its numerator and denominator. Therefore, so we can use the distributive property of division to solve the exercise:

$\frac{c^m}{c^n}=c^{m-n}$

We apply the previously distributive property to the problem:

$\frac{a^9}{a^x}=a^{9-x}$

Therefore, the correct answer is (c).

Answer

$a^{9-x}$

Related Subjects

Division of Exponents with the Same Base

Question Types

Power of a Quotient Rule for Exponents: Applying the formula