Question: 1

105×108 10 ^{5 } \times 10^{-8 }

A0.1

B0.01

C0.001

D1

Answer:

C. 0.001

Explanation:

105×108 10 ^{5 } \times 10^{-8 }

=103 10 ^{-3 }

=103 10 ^{-3 }

=1103\frac1{10^3}

=1/1000

=0.001

Question: 2

2m2^{m} = 16 ആയാൽ 3(m1)3^{(m -1)} എത്ര ?

A81

B27

C9

D3

Answer:

B. 27

Explanation:

2m=162^{m}=16

24=162^{4} = 16

m = 4

3m1=333^{m-1} =3^3 = 27

Question: 3

310×272=92×3n3^{10}×27^{2}=9^{2}×3^n  ആയാൽ  n എത്ര ?

A12

B15

C18

D24

Answer:

A. 12

Question: 4

(-1)^5 + (-1)^10 – (-1)^20 / 1^0 ?

A1

B0

C-1

D2

Answer:

C. -1

Explanation:

(-1)^5 = -1 (-1)^10 = 1 (-1)^20 = 1 1^0 = 1

Question: 5

3n=2187\sqrt{3^n} = 2187,  n -ന്റെ വില കാണുക?

A10

B12

C14

D16

Answer:

C. 14

Explanation:

3=312\sqrt{3} = 3^{\frac12}

3n=3n2\sqrt{3^n} = 3^{\frac{n}{2}}

373^7 = 2187

n2\frac{n}{2} = 7

n =14