Question

Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)

Answer 1

(25m^4n^1/12)(m^1n^1/12)

Explanation:

Re-order terms to the left.

(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)

Combine terms

(5*5m^4n^1/3/4) 2m^1n^1/3/3/8

Multiply

(25m^4n^1/3/4) 2m^1n^1/3/3/8

(25m^4n^1/3 * 4) 2m^1n^1/3/3*8

(25m^4n^1/12). 2m^1n^1/3/24

cancel common terms in both num and denominator

Final - (25m^4n^1/12) (2m^1n^1/12).