Exponents and Powers

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?

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

(i) 1 micron is equal to m.

(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 of a thick paper is 0.07 mm

Express the following numbers in usual form.

(i) 3.02 x 10^-6 (ii) 4.5 x 10⁴

(iii) 3 x 10^-8 (iv) 1.0001 x 10⁹

(v) 5.8 x 10¹² (vi) 3.61492 x 10⁶

Express the following numbers in standard form.

(i) 0.0000000000085 (ii) 0.00000000000942

(iii) 6020000000000000 (iv) 0.00000000837

(v) 31860000000

simplify. (i)  (ii) 

Evaluate (i)  (ii) 

Find the value of m for which 5^m ÃƒÂ·5^-3 = 5⁵.

Evaluate (i)  (ii) 

(i) (3⁰ + 4 ^{- 1}) × 2² (ii) (2 ^{- 1} × 4 ^{- 1}) ÷2 ^{- 2}

(iii) 

(iv) (3 ^{- 1} + 4 ^{- 1} + 5 ^{- 1})⁰

(v) 

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

(i)  (ii) 

(iii)  (iv) 

(v) 

(i) 3 ^{- 2} (ii) ( - 4) ^{- 2} (iii)