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

Question

Insert the corresponding expression:

84×8×81= 8^4\times8\times8^{-1}=

Video Solution

Solution Steps

00:00 Simply
00:03 Any number to the power of 1 is always equal to itself
00:07 We'll use this formula in our exercise, and raise to the power of 1
00:11 According to the laws of exponents, multiplication of powers with equal base (A)
00:15 equals the same base to the power of the sum of exponents (N+M)
00:19 We'll use this formula in our exercise
00:28 Note that we are adding a negative factor
00:34 Positive times negative is always negative, therefore we subtract
00:40 And this is the solution to the question

Answer

84+11 8^{4+1-1}