Home
Class 9
MATHS
Simplify: (256)^-(4^(((-3)/2)))...

Simplify: `(256)^-(4^(((-3)/2)))`

Text Solution

Verified by Experts

`(256)^-(4^(-3/2))=(256)^((-4)^(-3/2)=(256)^((2^(2)))^(-(3)/(2))`
`=(256)^(-(2^(2xx-3/2)))=(256)^(-(2^(-3)))`
`(2^(8))^((1/2^(3)))=(2^(8))^(-1/8)`
`2^(8xx-1/8)=2^(-1=1/2)`
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    NCERT EXEMPLAR ENGLISH|Exercise SHORT ANSWER TYPE QUESTIONS|18 Videos

  • LINES AND ANGLES

    NCERT EXEMPLAR ENGLISH|Exercise MULTIPLE CHOICE QUESTIONS|34 Videos

  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 2.4 Long Answer type Questions|9 Videos

Similar Questions

Explore conceptually related problems

When simplified (256)^-(4^((-3//2)\ )) is (a) 8 (b) 1/8 (c) 2 (d) 1/2

Simplify: 3^(3/2)

Simplify: (5-x)(3-2x)(4-3x)

Simplify : ((25)^(3/2)*(243)^(3/5))/((16)^(5/4)*(8)^(4/3))

Simplify : ((25)^(3/2)*(243)^(3/5))/((16)^(5/4)*(8)^(4/3))

Simplify: 5/6+3+3/4

Simplify: 4/((216)^(-2/3))+1/((256)^(-3/4))+2/((243)^(-1/5))

Simplify: 4/((216)^(-2/3))+1/((256)^(-3/4))+2/((243)^(-1/5))

Simplify: 5/8+2/5+3/4

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3)