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

Question

Simplify the following equation:

$4^{-2}\times4^{-4}=$

00:00 Simplify the following problem

00:03 According to the laws of exponents, the multiplication of powers 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

00:13 Note that we are adding together negative numbers

00:17 A positive x A negative is always negative, therefore we subtract as follows

00:23 This is the solution

$4^{-2-4}$