Simplify the Expression: 3⁵ ÷ 3² Using Exponent Rules

Question

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

Video Solution

Solution Steps

00:00 Simply
00:04 According to the laws of exponents, division of powers with equal bases (A)
00:08 equals the same base (A) raised to the power of the difference of exponents (M-N)
00:11 We'll use this formula in our exercise
00:14 We'll compare terms according to the formula and simplify
00:30 We'll keep the base
00:34 We'll subtract the exponents
00:48 We'll calculate the difference of exponents
00:55 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