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

Question

Reduce the following equation:

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

00:00 Simply

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

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

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

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

00:22 We will use this formula in our exercise

00:27 Note that we are adding a negative factor

00:41 Positive times negative is always negative, therefore we subtract

00:48 And this is the solution to the question

$5^{-2}$