Exponents and Powers

Exercise 1

1.     Evaluate:

(i) 3-2                     (ii) (4)2                     (iii) 

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

3.    Find the value of:

4.    Evaluate:

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

6.    Evaluate:

7.    Simplify:

Exercise 2

8.   Express the following numbers in standard form:

(i) 0.0000000000085                        (ii) 0.00000000000942

(iii) 6020000000000000                  (iv) 0.00000000837

(v) 31860000000

9.   Express the following numbers in usual form:

(i) 3.02 × 10-6          (ii) 4.5 × 104          (iii) 3 × 10-8

(iv) 1.0001 × 109     (v) 5.8 × 1012          (vi) 3.61492 × 106


10.  Express the number appearing in the following statements in standard form:

(i) 1 micros is equal to 

(ii) Charge of an electron is 0.000,000,000,000,000,000,16 coulomb.

(iii) Size of a bacteria is 0.0000005 m.

(iv) Size of a plant cell is 0.00001275 m.

(v) Thickness if a thick paper is 0.07 mm.

11.  In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?