Question

Q.1. Find the value of (40

+ 4-1
) × 22

Q.2. Solve

a) 3-4

b)(½)-2

Q.3. Simplify the following expression and express the result in positive power notation: (−4)5
÷ (−4)8

Q.4. Evaluate a2
× a3
× a-5

Q.5. Express 4-3
as a power with base 2.

Q.6. Evaluate (√4)-3

Q.7. Find the value of x for which 2x

÷ 2-4

= 45

Q.8. Calculate the missing value of “x” in the following expression: (11/9)3
× (9/11)6

= (11/9)2x-1

Q.9. 5 books and 5 paper sheets are placed in a stack. Find the total thickness of the stack if each book

has a thickness of 20 mm and each sheet has a thickness of 0.016 mm.

Q.10. If a new-born bear weighs 4kg, calculate how many kilograms a five-year-old bear weigh if its

weight increases by the power of 2 in 5 years ?

Q.11: Simplify [25 x t-4
] ÷ [5-3
x 10 x t-8
]

Q.12: Express 0.00000000837 in standard form.

Q.13: Write 3.61492 x 106

in usual form.​

Answer 1

1) 40 +3 ×22

=946

2) 3-4

= -1

b) -1.5

3)-20÷ -32

= 0.625 or 625/1000

4) a×a ×a×a×a ×a-2-3

5)