model 3 based on positive and negative exponent Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

Which of the following numbers is not a factor of $5^p7^q$ (p ≠ 0, q ≠ 0)

a) 175

b) 735

c) 1225

d) 35

Question : 2

If $m^n$ = 169, what is the value of $(m+1)^(n - 1)$ ?

a) 13

b) 170

c) 196

d) 14

Question : 3

If $27^{2x - 1} = (243)^3$ then the value of x is :

a) 6

b) 9

c) 7

d) 3

Question : 4

If $3^{x+8} = 27^{2x+1}$, the value of x is :

a) 3

b) 1

c) - 2

d) 7

Question : 5

If $√{3n}$ = 2187 then the value of n is :

a) 14

b) 16

c) 15

d) 13

Question : 6

A tap is dripping at a constant rate into a container. The level (L cm) of the water in the container is given by the equation L = 2 - $2^t$, where t is time taken in hours. Then the level of water in the container at the start is

a) 1 cm

b) 4 cm

c) 2 cm

d) 0 cm