(125)^4/3 is equal to ______?
(125)^4/3 is equal to ______?
Explanation
We are given:
(125)^(4/3)
Step 1: Rewrite 125 as a power of 5:
125 = 5³
So:
(125)^(4/3) = (5³)^(4/3)
Step 2: Apply exponent rule:
(5³)^(4/3) = 5^(3 × 4/3) = 5⁴ = 625
We are given:
(125)^(4/3)
Step 1: Rewrite 125 as a power of 5:
125 = 5³
So:
(125)^(4/3) = (5³)^(4/3)
Step 2: Apply exponent rule:
(5³)^(4/3) = 5^(3 × 4/3) = 5⁴ = 625