Question

Simplify (8)1/3×(625)1/4

Answer 1

Step-by-step explanation:

(64/125)^(-2/3) + (625/256)^1/4 + 25/3Root64

We know that,

64 = 4^3

125 = 5^3

625= 5^4

256 = 4^4

root 64 = 8

Substitute these values:

(4^3/5^3)(-2/3) + (5^4/4^4)^1/4 + 25/3*8

(4/5)^(-2) + (5/4) + 25/24

(5/4)^2 + 5/4 + 25/24

25/16 + 5/4 + 25/24

5/4* [ 5/4 + 1 + 5/6] =  5/4*[15+12+10/12]

= 5/4 * 37/12 = 185/48 = 3.85 (approx)

Answer 2

Step-by-step explanation:

(8)^1/3×(625)^(1/4)

= (2)^(3× 1/3) × 5^(4 × 1/4)

= 2 × 5

= 10

( Here ' ^ ' means 'to the power')