Question

Question 1: Use fractions to explain why 6^2 x 6^-2 =1

Question 2: Use multiplication Law of Exponents to explain why 5^3 x 5^3 =1

Answer 1

Answer is below.

Explanation:

6^2*6^-2=1 is the same as saying 6^2*1/6^2, which is just equal to one. This applies as negative exponents are expressed as fractions.

5^3 * 5^-3 is equal to 1 as the law of exponents states that if the base is the same, the numbers multiplied is the base to the power of the sum of the previous exponents. Therefore 5^3-3=5^0 and because anything to the power of 0 (except 0) is equal to 1, the answer is 1.