Question

1) Calcule:
a) (3/2)²
b) (1/2)-³
c) (2/3)-²
d) (5/2)-³​

Answer 1

Resposta:

a) 9/4

b) 8

c) 9/4

d) 8/125

Explicação passo-a-passo:

a)$(\frac{3}{2} )^{2}= \frac{3^{2}}{2^{2}}= \frac{9}{4}$

b)$(\frac{1}{2}) ^{-3}=\frac{1^{-3}}{2^{-3}}=\frac{\frac{1}{1^{3}}}{\frac{1}{2^{3}}}=\frac{1}{\frac{1}{8} }=\frac{1}{1} . \frac{8}{1}=\frac{8}{1}=8$

c)$(\frac{2}{3}) ^{-2}=\frac{2^{-2}}{3^{-2}}=\frac{\frac{1}{2^{2}}}{\frac{1}{3^{2}} }=\frac{1}{4}.\frac{9}{1}=\frac{9}{4}$

d) $(\frac{5}{2})^{-3}=\frac{5^{-3}}{2^{-3}}=\frac{\frac{1}{5^{3}} }{\frac{1}{2^{3}}}=\frac{1}{125}.\frac{8}{1}=\frac{8}{125}$