Simplify the Expression: 3⁵ ÷ 3² Using Exponent Rules

Question

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

Video Solution

Solution Steps

00:00 Simply
00:02 We'll use the formula for dividing powers
00:04 Any division of powers with the same base (A) and different exponents
00:07 Equals the same base (A) raised to the difference of exponents (M-N)
00:10 We'll use this formula in our exercise
00:13 And compare the numbers with the variables in the formula
00:27 We'll keep the base and subtract between the exponents
00:50 We'll calculate the difference
00:56 And this is the solution to the question

Step-by-Step Solution

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

Here, we have 3532=352 \frac{3^5}{3^2} = 3^{5-2}

Simplifying, we get 33 3^3

Answer

33 3^3