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

Question

Simplify the following equation:

34×32= 3^{-4}\times3^{-2}=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:03 According to the laws of exponents, the multiplication of exponents with an equal base (A)
00:06 equals the same base raised to the sum of the exponents (N+M)
00:09 We will apply this formula to our exercise
00:12 Note that we are adding together negative exponents
00:17 A positive x A negative is always negative, therefore we subtract as follows
00:24 This is the solution

Answer

342 3^{-4-2}