What is 2^100 ÷ 2^25 in powers of 2? In a generalised form, n^a ÷ n^b = n^a – b Class 8

What is 2¹⁰⁰ ÷ 2²⁵ in powers of 2? In a generalised form, n^a ÷ n^b = n^{a – b} Class 8

Question 1.

What is 2¹⁰⁰ ÷ 2²⁵ in powers of 2? Class 8

In a generalised form,

n^a ÷ n^b = n^{a – b},

where n ≠ 0 and a and b are counting numbers and a > b

Solution:

2¹⁰⁰ ÷ 2²⁵ = 2^100-25 = 2⁷⁵.

Question 2.

Why can’t n be 0? Class 8

Solution:

For n^a ÷ n⁶, n cannot be zero, because division by 0 is not defined (or possible).

Question 3.

How many times larger than 4^-2 is 4²? Class 8

Solution:

4^-2 ÷ 4² = 4²⁺² = 4⁴ = 256 times larger.