Nyatakan dalam bentuk eksponen! a. n^(1/5) b. m^(9/3) c.

a. ⁵√n, b. m³, c. x^(3/4) y^(1/2), d. 8000, e. (a/b)^(1/2)

Pembahasan

a. n^(1/5) = ⁵√n
b. m^(9/3) = m³
c. (x^(1/4) y^(1/6))^(1/(1/3)) = (x^(1/4) y^(1/6))^3 = x^(3/4) y^(3/6) = x^(3/4) y^(1/2) = ⁴√x³ ⁶√y³ = ⁴√x³ ³√y
d. (5^(1/2) . 8^(1/3))^(1/(1/6)) = (5^(1/2) . 8^(1/3))^6 = 5^(6/2) . 8^(6/3) = 5³ . 8² = 125 . 64 = 8000
e. (a/b)^(1/4) x 1/((b/a)^(1/4)) = (a/b)^(1/4) x (a/b)^(1/4) = (a/b)^(1/4 + 1/4) = (a/b)^(2/4) = (a/b)^(1/2) = √(a/b)