Simplify the Expression: 3⁵ ÷ 3² Using Exponent Rules

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

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

2

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

3

Final Answer

33 3^3

Practice Quiz

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\( 112^0=\text{?} \)

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