Simplify: { ( 1 3 ) − 3 − ( 1 2 ) − 3 } ÷ ( 1 4 ) − 3 - Mathematics

Sum

Simplify:

$\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}$

Solution

$\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}$ =(1/(1/3)^3-1/(1/2)^3)div1/(1/4)^3   ->(a^(-n)=1/(a^n))

=(1/(1/27)-1/(1/8))div1/(1/64)

=(27/1-8/1)div64

=(19)xx1/64

=19/64

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 2 Powers
Exercise 2.2 | Q 7.1 | Page 19