Exponents and Powers

Question 1.
Evaluate :

Solution

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

Solution

Question 3.
Fmd the value of:

Solution

Solution

Question 6.
Evaluate :

Solution

Question 7.
Simplify:

Solution.
 

Question 1.
Express the following numbers in standard form:
 

• (i) 0.0000000000085
• (ii) 0.00000000000942
• (iii) 6020 000 000 000 000
• (iv) 0.00000000837
• (v) 31860000000
   

Solution.

Question 2.
Express the following numbers in usual form:

Solution

Question 3.
Express the number appearing in the following statements in standard form:
 

• (i) 1 micron is equal to 1/1000000m.
• (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.
   

Solution.

Question 4.
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 ?
 

Solution.
Total thickness of books
= 5 x 20 mm = 100 mm
Total thickness of paper sheets
= 5 x 0.016 mm = 0.080 mm
∴ Total thickness of the stack
= Total thickness of books + Total thickness of paper sheets
= 100 mm + 0.080 mm
= (100 + 0.080) mm
= 100.080 mm
= 1.0008 x 102 mm.