Question

math practice

Answer 1

\(\huge (125)^{\frac{-2}{3}}\)


\(\huge \dfrac{1}{(125)^{\frac{2}{3}}}\)

\(\huge \dfrac{1}{(5^3)^{\frac{2}{3}}}\)

\(\huge \dfrac{1}{5^2}\)

\(\huge \dfrac{1}{25}\)

Answer 2

Rule 2 :
\(\color{red}{\left(\dfrac{a}{b}\right)^{m} = \dfrac{a^m}{b^m}}\)

Answer 3

\(\large \left(- \dfrac{27}{8}\right)^{\dfrac{4}{3}} = \dfrac{(-27)^{\dfrac{4}{3}}}{8^{\dfrac{4}{3}}} \)

Answer 4

27 = 3^3
8 = 2^3

Answer 5

\(\large \left(- \dfrac{27}{8}\right)^{\dfrac{4}{3}} = \dfrac{(-27)^{\dfrac{4}{3}}}{8^{\dfrac{4}{3}}} \)


\(\large ~~~~~~~~~~~~~~~= \dfrac{(-3^3)^{\dfrac{4}{3}}}{(2^3)^{\dfrac{4}{3}}} \)


\(\large ~~~~~~~~~~~~~~~= \dfrac{(-3)^4}{2^4}\)

Answer 6

\(\large \dfrac{81}{16}\)

Answer 7

\(\large \dfrac{-2}{3} + \dfrac{1}{6}\)

Answer 8

\(\large \dfrac{-2*2}{3*2} + \dfrac{1}{6}\)

\(\large \dfrac{-4}{6} + \dfrac{1}{6}\)

Answer 9

\(\large \dfrac{-3}{6} \)

Answer 10

\(\large \dfrac{-3}{2*3} \)

Answer 11

\(\large \dfrac{-1}{2} \)