Solution of Chapter 12. Exponents and Powers (NCERT - Mathematics Book)

Evaluate.

(i)

(ii)

(iii)

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

(i) (-4)⁵ ÷ (-4)⁸  

(ii) 

(iii) 

(iv) (3^-7 ÷ 3^-10) × 3^-5

(v)  2^-3 × (-7)^-3

Find the value of.

(i)

(ii)

(iii)

(iv)

(v)

Evaluate

(i)

(ii)

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

Evaluate

(i)

(ii)

Simplify

(i)

(ii)

Express the following numbers in standard form.

(i) 0.0000000000085

(ii) 0.00000000000942

(iii) 6020000000000000

(iv) 0.00000000837

(v) 31860000000

Express the following numbers in usual form.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

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

(i) 1 micron 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 of a thick paper is 0.07 mm

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