Home
Class 9
MATHS
Simplify: 4/((216)^(-2/3))+1/((256)^(-3/...

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

Text Solution

AI Generated Solution

To simplify the expression \( \frac{4}{(216)^{-2/3}} + \frac{1}{(256)^{-3/4}} + \frac{2}{(243)^{-1/5}} \), we will follow these steps: ### Step 1: Rewrite the bases We can express the numbers in the denominators as powers of their prime factors: - \( 216 = 6^3 \) - \( 256 = 4^4 \) - \( 243 = 3^5 \) ...
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

Evaluate : (4)/((216)^(-2//3))+(1)/((256)^(-3//4))+(2)/((343)^(-1//3))

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

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

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

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

Simplify : ((3)/(5)+(1)/(3))/((2)/(5)+(2)/(5))

Simplify (2y -1) (4y - 3)

Simplify : (4^(-1)+\ 8^(-1))-:(2/3)^(-1)

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))