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1. Real Number System
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Q6 of 239 Page 25

Prove that

Taking L.H.S,


(∵ if ‘a’ is a real no. and m, n are integers, then (am)n = amn)




where b≠0, a and b are real numbers, m is an integer)



(By Power of Product Rule)




Hence, proved.


More from this chapter

All 239 →
5

If 2x = 16, find

i. x


ii.


iii. 22x


iv. 2x + 2


v.

5

If 3x = 81, find

i. x


ii. 3x + 3


iii. 3x/2


iv. 32x


v. 3x – 6

6

Prove that

1

Just observe the unit digits and state which of the following are not perfect squares.

i. 3136


ii. 3722


iii. 9348


iv. 2304


v. 8343

Questions · 239
1. Real Number System
1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1 1 2 3
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