Question

Pls give answer asap

Answer 1

Answer:

k/8 = 8

Step-by-step explanation:

GIVEN:

A = 2²⁰²⁰ + 2²⁰²⁰ + 2²⁰²⁰ + ...(200 times)

B = 2²⁰¹⁵

A/B = k × 10²

TO FIND:

The value of k/8

SOLUTION:

We know that,

a+a+a+a+... n times = n×a

A = 2²⁰²⁰ + 2²⁰²⁰ + 2²⁰²⁰ +... ( 200 times)

Hence, A = 200 × 2²⁰²⁰

A/Q,

A/B = k × 10²

=> (200 × 2²⁰²⁰)/(2²⁰¹⁵) = k × 10²

=>(200 ×2²⁰¹⁵×2⁵)/(2²⁰¹⁵) = k × 10²

=> 200 × 2⁵ = k × 10²

=> 2 × 10² × 2⁵ = k × 10²

=> k = (2⁶ × 10²)/10²

k = 2⁶ = 64

Now,

Value of k/8 = 64/8 = 8

Therefore, the value of k/8 = 8

[ Note: (a)^m+n = (a)^m × (a)^n ]