Advertisements
Advertisements
Question
Simplify: (32)3 × (2 × 35)−2 × (18)2
Sum
Advertisements
Solution
(32)3 × (2 × 35)−2 × (18)2 = `3^(2 xx 3) xx 1/(2 xx 3^5)^2 xx 18^2`
= `3^6 xx 1/(2^2 xx (3^5)^2) xx 18^2`
= `3^6 xx 1/(2^2 xx 3^10) xx (2 xx 3^2)^2`
= `3^6 xx 1/(2^2 xx 3^10) xx 2^2 xx 3^(2 xx 2)`
= `3^6 xx 1/(2^2 xx 3^10) xx 2^2 xx 3^4`
= `(3^(6 + 4) xx 2^2)/(2^2 xx 3^10)`
= `(3^10 xx 2^2)/(2^2 xx 3^10)`
= 1
shaalaa.com
Is there an error in this question or solution?
Chapter 1: Numbers - Exercise 1.6 [Page 45]
APPEARS IN
RELATED QUESTIONS
`(-1)^("even integer")` is _____________
(−2)−7 = ____________
`(-1/3)^(-5)` = ____________
If 8x = `1/64`, the value of x is −2
Simplify: `(2^8 xx 2187)/(3^5 xx 32)`
Order the following from the least to the greatest: 1625, 8100, 3500, 4400, 2600
(10 + 20 + 30) is equal to ______.
Find the value of:
70
Find the value of:
(20 + 30 + 40) (40 – 30 – 20)
Find the value of:
2 × 3 × 4 ÷ 20 × 30 × 40
