ա) x^1/4 * x^3/10

1/4 + 3/10 = 5+6 / 20 = 11/20

x^1/4 * x^3/10 = x^11/20

բ) a^-3/8 : a^1/4

-3/8 — 1/4 = -3-2 / 8 = -5/8

a^-3/8 : a^1/4 = a^-5/8

գ) (y^3/8)^4/3

3/8 * 4/3 = 12/24 = 1/2

(y^3/8)^4/3 = y^1/2

դ) (x^2/3)^0,6 * x^2/5 = (x^2/3)^6/10 * x^2/5

2/3 * 6/10 = 12/30 = 4/10 = 2/5

2/5 + 2/5 = 4/5

(x^2/3)^0,6 * x^2/5 = x^4/5

ե) (a^-5/8)^0,4 * a^0,25 = (a^-5/8)^4/10 * a^25/100

-5/8 * 4/10 = -20/80 = -2/8 = -4

-4/1 + 25/100 = -400+25 / 100 = -375/100 = -15/4

(a^-5/8)^0,4 * a^0,25 = a^-15/4

զ) (b^1/2)^-0,5 * (b^1/4)^-2/3 = (b^1/2)^-1/2 * (b^1/4)^-2/3

1/2 * (-1/2) = -1/4

1/4 * (-2/3) = -2/12 = -1/6

-1/4 + (-1/6) = -3-2 / 12 = -5/12

(b^1/2)^-0,5 * (b^1/4)^-2/3 = b^-5/12

է) (d^0,3)^3/2 * (d^-2/5)^0,4 = (d^3/10)^3/2 * (d^-2/5)^4/10

3/10 * 3/2 = 9/20

-2/5 * 4/10 = -8/50 = -4/25

9/20 + (-4/25) = 45-16 / 100 = 29/100

(d^0,3)^3/2 * (d^-2/5)^0,4 = d^29/100

ը) (u^1/2 + 2v^1/2)² = (√u + 2√v)² = u + 4√uv + 4v