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Chapter 12 Exponents and Powers Ex 12.1 Solutions

Question - 1 : -
Evaluate:
(i) 3-2
(ii) (-4)-2
(iii) (1/2)-5

Answer - 1 : -



Question - 2 : -
Simplify and express the result in power notation with a positive exponent.

Answer - 2 : -




Question - 3 : - Find the value of

Answer - 3 : -




Question - 4 : -

Answer - 4 : -



Question - 5 : -

Find the value of m forwhich 5m ÷ 5-3 = 55.

Answer - 5 : -

5m ÷5-3 =55
⇒ 5m-(-3) = 55 [∵ am ÷an =am-n]
⇒ 5m+3 = 55
Comparing the powers of equal bases, we have
m + 3 = 5
m = 5 – 3 = 2, i.e., m = 2

Question - 6 : - Evaluate:

Answer - 6 : -




Question - 7 : - Simplify:

Answer - 7 : -



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