To draw maximum benefit, study the concepts for the topic concerned.

Kindly take the tests in this series with a pre-defined schedule.

Number System: Exponent Test-2

Start

Congratulations - you have completed Number System: Exponent Test-2.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1

0.9^{6}/(0.3)^{-3} = ?

A

3/(15)9

B

0.000009/0.003

C

3^{15}/10^{9}

D

9.009/0.333

Question 1 Explanation:

0.9^{6}/(0.3)^{-3 } = (0.9)^{6} (0.3)^{3} = (9^{6}/10^{6}) x (3^{3}/10^{3}) = (3^{(2)6}/10^{6}) x (3^{3}/10^{3}) = (3^{12}/10^{6}) x (3^{3}/10^{3}) = (3^{15}/10^{9})

Question 2

If 3^{4} = 9^{x}, then x = ?

A

.2

B

4

C

.6

D

8

Question 2 Explanation:

3^{4} = 9^{x} 3^{4} = 3^{2x} 2x = 4 x =2

Question 3

If 9^{x}/(3^{2}+3^{2}+3^{2})=1/81, then what is the value of x?

A

-2

B

-3

C

-4

D

5

Question 3 Explanation:

9^{x}/(3^{x}+3^{x}+3^{x})=1/81 3^{2x}/(3^{x}+3^{x}+3^{x})=1/81 3^{2x}/3^{x}(3)=1/81 3^{2x}/3^{x}(3)=1/81 3^{x}/(3)=1/81 so x = -3

Question 4

If p = 729^{–4/3} x 324^{3/2} x 8^{1/3}, then what will be the value of p^{1/2}?

A

4/3

B

9/4

C

16/81

D

3/2

Question 4 Explanation:

p=729^{–4/3} x 324^{3/2} x 8^{1/3} p=9^{3(–4/3)} x 18 ^{2(3/2)} x 2 p= 9^{–4} x 18^{3} x 2 p= 16/9 p^{1/2}=4/3 that is, option a

Question 5

If (64)^{1/2m} = 2^{2m} then what will be the value of m