Simplify the Expression: 8^4 × 8 × 8^-1 Using Exponent Laws

Question

Insert the corresponding expression:

$8^4\times8\times8^{-1}=$

00:00 Simplify the following problem

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

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

00:11 According to the laws of exponents, the multiplication of powers with an equal base (A)

00:15 equals the same base raised to the power of the sum of the exponents (N+M)

00:19 We'll apply this formula to our exercise

00:28 Note that we are adding a negative factor

00:34 A positive x A negative is always negative, therefore we subtract as follows

00:40 This is the solution

$8^{4+1-1}$