Simplify 2^6 × 2^-3: Multiplying Powers with Different Signs

Question

Simplify the following equation:

$2^6\times2^{-3}=$

00:00 Simply

00:03 According to the laws of exponents, multiplication of exponents with equal base (A)

00:06 equals the same base raised to the sum of the exponents (N+M)

00:09 We'll use this formula in our exercise

00:12 Note that we are adding a negative factor

00:18 Positive times negative is always negative, therefore we subtract

00:21 And this is the solution to the question

$2^{6-3}$