Simplify Powers: 2^4 × 2^-2 × 2^3 Using Exponent Rules

Question

Reduce the following equation:

24×22×23= 2^4\times2^{-2}\times2^3=

Video Solution

Solution Steps

00:00 Simply
00:03 According to the laws of exponents, multiplication of powers with equal base (A)
00:06 equals the same base raised to the sum of the exponents (N+M)
00:10 We will use this formula in our exercise
00:14 Note that we are adding a negative factor
00:19 Positive times negative is always negative, so we subtract
00:28 Let's continue to sum
00:38 And this is the solution to the question

Answer

242+3 2^{4-2+3}