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

Question

Reduce the following equation:

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

00:00 Simply

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

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

00:11 We will use this formula in our exercise

00:15 Note that we are adding a negative factor

00:21 Positive times negative is always negative, therefore we subtract

00:26 And this is the solution to the question

$5^{-7}$