Question

Calcule as seguintes potenciações

a) (3 xym^8)²

b)(-5/6yz)³

c)[(-2x)^4]²

d)[(-2/5x^7)²]²

Answer 1

Resposta:

a)$9x^{2}y^{2}m^{16}$

b)$-\frac{125}{216}y^{3}z ^{3}$

c)$256x^{8}$

d)$\frac{16}{625}x^{28}$

Explicação passo-a-passo:

a)$(3xym^{8})^{2} = 3^{2}x^{2}y^{2}(m^{8})^{2}=9x^{2}y^{2}m^{16}$

b)$(-\frac{5}{6}yz) ^{3} =(-\frac{5}{6})^{3}y^{3}z ^{3} =-\frac{125}{216}y^{3}z ^{3}$

c)$[(-2x)^{4}]^{2}=[(-2)^{4}x^{4}]^{2}=[16x^{4}]^{2}=16^{2}(x^{4})^{2}=256x^{8}$

d)$[(-\frac{2}{5}x^{7})^{2}]^{2}=[(-\frac{2}{5})^{2}(x^{7})^{2}]^{2}=[\frac{4}{25}x^{14}]^{2}=(\frac{4}{25})^{2}(x^{14})^{2}=\frac{16}{625}x^{28}$