Sederhanakanlah. a. (5/x)^(-2).(25/3x)^7:(5/2x)^(-4) b.

a. (16 * 5^12) / (3^7 * x) b. (2n)^7

Pembahasan

a. (5/x)^(-2) . (25/3x)^7 : (5/2x)^(-4)
= (x/5)^2 . (5^2/3x)^7 . (2x/5)^4
= (x^2/5^2) . (5^14 / (3^7 . x^7)) . (16x^4 / 5^4)
= (x^2 . 5^14 . 16x^4) / (5^2 . 3^7 . x^7 . 5^4)
= (16 . 5^12 . x^6) / (3^7 . x^7)
= (16 . 5^12) / (3^7 . x)

b. ((2n)^2 : (2n)^(-5) . (2n)^(-4)) / ((2n)^3 : (2n)^7)
= ((2n)^2 . (2n)^5 . (2n)^(-4)) / ((2n)^3 . (2n)^(-7))
= (2n)^(2+5-4) / (2n)^(3-7)
= (2n)^3 / (2n)^(-4)
= (2n)^(3 - (-4))
= (2n)^7