Question

efetue: a) (5x)^3 b) (x^2)^4 c) (-4x^2 y^3)^2
d)(ab^3/3c^2)^2
e)(2x^3/5yz^2)^-2

Answer 1

a) $(5x)^3=5^3x^3=25x^3$

b) $(x^2)^4=x^8$

c) $(-4x^2 y^3)^2=(-4)^2.x^4.y^6=16x^4y^6$

d) $(ab^3/3c^2)^2=(\frac{ab^3}{3c^2})^2=\frac{a^2b^6}{9c^4}$

e) $(2x^3/5yz^2)^-2=(\frac{2x^3}{5yz^2})^{-2}=\frac{2^{-2}x^{-6}}{5^{-2}y^{-2}z^{-4}}=\frac{5^2y^2z^4}{2^2x^6}=\frac{25y^2z^4}{4x^6}$