Question

Write 75 as the sum of powers of​ 8, using rational exponents.


8^? x 8^? x 8^? x 8^? = 75

Answer 1

I was having a little trouble finding how to get from 64->75, but it’s not too hard

8^2 = 64
8^1 = 8

8^2 + 8^1 = 72

8^0 = 1
8^(1/3) = 2

8^2 + 8^1 + 8^0 + 8^(1/3) = 75