Simplify the Expression: 3⁵ ÷ 3² Using Exponent Rules

Question

3532= \frac{3^5}{3^2}=

Video Solution

Solution Steps

00:05 Let's start by understanding the plan.
00:08 We're using a formula for dividing powers.
00:12 When you divide powers with the same base, A,
00:15 The result is A to the power of, M minus N.
00:19 Now, let's apply this formula to our problem.
00:23 First, match the numbers in our problem to the formula's variables.
00:32 Keep the base the same, and subtract between the exponents.
00:55 Next, let's calculate the difference.
01:01 Great job! That's how we find the solution.

Step-by-Step Solution

Using the quotient rule for exponents: aman=am−n \frac{a^m}{a^n} = a^{m-n} .

Here, we have 3532=35−2 \frac{3^5}{3^2} = 3^{5-2}

Simplifying, we get 33 3^3

Answer

33 3^3

More Questions

Related Subjects

Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Division of Exponents with the Same Base

Question Types

Applying Combined Exponents Rules: Applying the formula Applying Combined Exponents Rules: A power law Applying Combined Exponents Rules: Monomial Power of a Quotient Rule for Exponents: Applying the formula