Question

Calcule

a) (a^5)^2

B) (-2x^4)^2

c) (-5y^3)^3

d) (-100a^2b)^2

e) (-3x^2y)^4

f) (-1/5m^2n)^2

g) (0,5ab^2)^2

h) (-am^5x^3)^4

i) (2/3x^3y^2)^2

j) (a^2c^3)^7

k) (a^2c^3)^7

L) (0,1p^5)^2

Me ajudem pls ;--;

Answer 1

$a) (a^5)^2=a^{5*2}=a^{10}\\ B) (-2x^4)^2=(-2)^2*(x^4)^2=4x^8\\ c) (-5y^3)^3=(-5)^3*(y^3)^3=-125y^9\\ d) (-100a^2b)^2=(-100)^2*(a^2)^2*b^2=10000a^4b^2\\ e) (-3x^2y)^4=(-3)^3*(x^2)^4*y^4=81x^8y^4\\ f) (-1/5m^2n)^2(-1/5)^2*(m^2)^2*n^2=1/25m^4n^2\\ g) (0,5ab^2)^2=(0,5)^2a^2(b^2)^2=0,25a^2b^4\\ h) (-am^5x^3)^4=(-a)^4*(m^5)^4*(x^3)^4=a^4m^{20}x^{12}\\ i) (2/3x^3y^2)^2=(2/3)^2*(x^3)^2*(y^2)^2=4/9x^6y^4\\ j) (a^2c^3)^7=(a^2)^7*(c^3)^7=a^{14}c^{21}\\ k) (a^2c^3)^7= vide \ acima$

$L) (0,1p^5)^2=(0,1)^2*(p^5)^2=0,01p^{10}$