prove that 2 power 30 +2 power 29+ 2 power 28 /2 power 31 +2 power 30 - 2 power 29 = 7/10

Asked by vidhibalana41403 | 23rd Jun, 2020, 10:58: AM

Expert Answer:

To ptove that: (230 + 229 + 228)/(231 + 230 - 229) = 7/10
L H S equals fraction numerator 2 to the power of 30 plus 2 to the power of 29 plus 2 to the power of 28 over denominator 2 to the power of 31 plus 2 to the power of 30 minus 2 to the power of 29 end fraction equals fraction numerator 2 to the power of 28 open parentheses 2 squared plus 2 plus 1 close parentheses over denominator 2 to the power of 29 open parentheses 2 squared plus 2 minus 1 close parentheses end fraction equals fraction numerator open parentheses 4 plus 2 plus 1 close parentheses over denominator 2 open parentheses 4 plus 2 minus 1 close parentheses end fraction equals fraction numerator 7 over denominator 2 open parentheses 5 close parentheses end fraction equals 7 over 10 equals R H S
H e n c e comma space fraction numerator 2 to the power of 30 plus 2 to the power of 29 plus 2 to the power of 28 over denominator 2 to the power of 31 plus 2 to the power of 30 minus 2 to the power of 29 end fraction equals 7 over 10

Answered by Renu Varma | 23rd Jun, 2020, 11:45: AM

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