Question

Nyatakan dalam bentuk yang paling sederhana
a. (m^3n^6)^1/3 x (m^4n^8)^3/2
B. √9a⁴ + ³√125a^6

Answer 1

A. (m^3 n^6)^1/3 × (m^4 n^8)^3/2
= (m^(3×1/3) n ^(6×1/3)) × (m^ (4×3/2) n^(8×3/2)
= (m^1 n^6/3) × (m^12/2 n^24/2)
= (m^1 n^2) × (m^6 n^12)
= m^1+6 × n^2+12
= m^7 n^14

b. =(9a^4)^1/2 + (125 a^6)^1/3
=9^1/2 a^4×1/2 + 125^1/3 a ^6 × 1/3
= 3 a^2 + 5 a^2
= 8a^2