Question

The value of (2 power 2001 + 2 power 1999) / (2 power 2000 - 2 power 1998) is

Answer 1

Answer:

Step-by-step explanation:

(2^2001 + 2^1999) / (2^2000 - 2^1998)

= 2^1999 (2^2 + 1) / 2^1998 (2^2 - 1)

= 2 (5)/3

= 10/3

Answer 2

Answer:

The required answer is $\frac{10}{3}$

Step-by-step explanation:

Concept:

A number's power indicates how many times it should be multiplied. Other names for powers include exponents and indices. For instance, $8^{2}$ could be referred to as "8 squared," "8 to the power 2," or "8 to the second power."

Given:

The expression is $\frac{2^{2001}+2^{1999} }{2^{2000}-2^{1998} }$

To find:

The objective is to find out the value of the given expression.

Solution:

The given expression is $\frac{2^{2001}+2^{1999} }{2^{2000}-2^{1998} }$

$=\frac{2^{1999} (2^{2} +1)}{2^{1998}(2^{2}-1) }$

$=2$ × $\frac{5}{3}$

$=\frac{10}{3}$

Therefore, the value of the given expression is $\frac{10}{3}$.

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