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=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