Question

Justify Results Hector was asked to simplify the expression (5^-3/5^-1) He gave the answer 1/25 Did Hector give the correct answer? Explain.​

Answer 1

To simplify the expression (5^-3/5^-1), we need to use the rule of exponents that states when dividing two powers with the same base, we can subtract the exponents.

Using this rule, we get:

(5^-3/5^-1) = 5^-3 ÷ 5^-1 = 5^-3 × 5^1 = 5^-2 = 1/25

Therefore, Hector gave the correct answer.