Question

please answer the question chapter is exponents and power​

Answer 1

Step-by-step explanation:

$\rm\underline{ Solution-}$

Given expression,

$\rm(2^{-1}-3^{-1})^{-1}+(6^{-1}-8^{-1})^{-1}$

Calculate 2 to the power -1 and get 1/2.

$\longrightarrow\rm \bigg( \frac{1}{2}-3^{-1}\bigg)^{-1}+(6^{-1}-8^{-1})^{-1}$

Calculate 3 to the power -1 and get 1/3.

$\longrightarrow\rm \bigg( \frac{1}{2}- \frac{1}{3} \bigg)^{-1}+(6^{-1}-8^{-1})^{-1}$

Subtract 1/3 from 1/2 to get 1/6.

$\longrightarrow\rm \bigg( \frac{1}{6} \bigg)^{-1}+(6^{-1}-8^{-1})^{-1}$

Calculate 1/6 to the power -1 and get 6.

$\longrightarrow\rm6+(6^{-1}-8^{-1})^{-1}$

Calculate 6 to the power of -1 and get 1/6.

$\longrightarrow\rm6+ \bigg( \frac{1}{6} -8^{-1} \bigg)^{-1}$

Calculate 8 to the power -1 and get 1/8.

$\longrightarrow\rm6+ \bigg( \frac{1}{6} - \frac{1}{8} \bigg)^{-1}$

Subtract 1/8 from 1/6 and get 1/24.

$\longrightarrow\rm6+ \bigg( \frac{1}{24} \bigg)^{-1}$

Calculate 1/24 to the power -1 and get 24.

$\longrightarrow\rm6+ 24$

Add 6 and 24 to get 30.

$\longrightarrow\rm30$

Hence, 30 is your required ans.