English

Simplify: ⎡ ⎣ { ( − 1 4 ) 2 } − 2 ⎤ ⎦ − 1 - Mathematics

Advertisements
Advertisements

Question

Simplify:

\[\left[ \left\{ \left( \frac{- 1}{4} \right)^2 \right\}^{- 2} \right]^{- 1}\]
Sum

Solution

\[\left[ \left\{ \left( \frac{- 1}{4} \right)^2 \right\}^{- 2} \right]^{- 1}\] `=(((-1)^2/4^2)^(-2))^(-1)` → ((a/b)n = an/(bn))

`=(((1)/16)^(-2))^(-1)`    → (an = 1/(an))

`=(((1)/(1/16)^2)^(-2))^(-1)`

`=((1)/(1/256))^(-1)`

`=256^(-1)`    → (a−1 = 1/a)

`=1/256`

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Powers - Exercise 2.2 [Page 19]

APPEARS IN

RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.2 | Q 7.4 | Page 19

Video TutorialsVIEW ALL [1]

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×