Simplify the Exponential Expression: a^7y ÷ a^5x Using Power Rules

Question

Solve the following exercise

$\frac{a^{7y}}{a^{5x}}$

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 exponents

00:10 We'll use this formula in our exercise, and subtract the exponents

00:14 And this is the solution to the question

Step-by-Step Solution

Let's consider that in the given problem there is a fraction in both the numerator and denominator with terms of identical bases. Hence we use the property of division between terms of identical bases in order to solve the exercise:

$\frac{c^m}{c^n}=c^{m-n}$ We apply the previously mentioned property to the problem:

$\frac{a^{7y}}{a^{5x}}=a^{7y-5x}$ Therefore, the correct answer is option A.

Answer

$a^{7y-5x}$

Related Subjects

Division of Exponents with the Same Base

Question Types

Power of a Quotient Rule for Exponents: Applying the formula