Simplify 5^-3 × 5^-4: Negative Exponent Multiplication

Question

Reduce the following equation:

$5^{-3}\times5^{-4}=$

00:00 Simplify the following problem

00:03 According to the power laws, the multiplication of powers with equal bases (A)

00:07 equals the same base raised to the sum of the powers (N+M)

00:11 We will apply this formula to our exercise

00:15 Note that we are adding a negative factor

00:21 A positive x A negative is always negative, therefore we subtract as follows

00:26 This is the solution

$5^{-7}$