find the value of 2^2009 + 2^2007
______________
2^2008 - 2^2006
step by step
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Step-by-step explanation:
1. 2²⁰⁰⁹ + 2²⁰⁰⁷
= 2²⁰⁰⁷ × ( 2² + 1 )
= ( 5 ) × 2²⁰⁰⁷
2. 2²⁰⁰⁸ - 2²⁰⁰⁶
= 2²⁰⁰⁶ × ( 2² - 1 )
= ( 3 ) × 2²⁰⁰⁶
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