Simplify 5^(-2) × 5^(-1) × 5: Negative Exponent Reduction

Question

Reduce the following equation:

$5^{-2}\times5^{-1}\times5=$

00:00 Simplify the following problem

00:03 Any number raised to the power of 1 is always equal to itself

00:07 We will apply this formula to our exercise, and raise to the power of 1

00:13 According to the laws of exponents, the multiplication of powers with equal bases (A)

00:18 equals the same base raised to the power of the sum of the exponents (N+M)

00:22 We will apply this formula to our exercise

00:27 Note that we are adding a negative factor

00:41 A positive x A negative is always negative, therefore we subtract as follows

00:48 This is the solution

$5^{-2}$