Question

Tính:

a) \({\left( {\frac{1}{5}} \right)^{ - 2}};\)                  

b) \({4^{\frac{3}{2}}};\)                            

c) \({\left( {\frac{1}{8}} \right)^{ - \frac{2}{3}}};\)                     

d) \({\left( {\frac{1}{{16}}} \right)^{ - 0,75}}.\)

Answer 1

a: \(\left(\dfrac{1}{5}\right)^{-2}=25\)

b: \(4^{\dfrac{3}{2}}=8\)

c: \(\left(\dfrac{1}{8}\right)^{-\dfrac{2}{3}}=\left(\dfrac{1}{2}\right)^{3\cdot\dfrac{-2}{3}}=\left(\dfrac{1}{2}\right)^{-2}=4\)

d: \(\left(\dfrac{1}{16}\right)^{-0.75}=\left(\dfrac{1}{2}\right)^{4\cdot\left(-0.75\right)}=\left(\dfrac{1}{2}\right)^{-3}=8\)