Simplify 3^-4 × 3^-2: Negative Exponents Multiplication Problem

Question

Simplify the following equation:

34×32= 3^{-4}\times3^{-2}=

Video Solution

Solution Steps

00:09 Let's simplify this problem step by step.
00:12 Remember the rule for exponents: when multiplying with the same base, A,
00:18 the exponents add up. So, it's A to the power of N plus M.
00:24 Let's use this formula in our exercise.
00:28 Pay attention, we're adding negative exponents now.
00:32 When you multiply a positive by a negative, it becomes negative. So, we subtract.
00:39 And there you have it! That's the solution.

Answer

342 3^{-4-2}