Question

Check whether 2²+2³+2⁴ is divisible by 2 or 4 or by both 2 and 4 ?

Answer 1

Answer:

2²+2³+2⁴ is divisible by 2 and  4 both

Step-by-step explanation:

2²+2³+2⁴

= 2² ( 1 + 2 + 2²)

= 2² ( 1 + 2 + 4)

= 2² ( 7)

= 4 * 7

4 * 7/2 = 2 * 7 = 14

4 * 7/4 =  7

so it is divisible by 2 and  4 both

Answer 2

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FORMULA TO BE IMPLEMENTED

If two numbers a & b both are divisible by a number n then a + b is also divisible by n

TO CHECK

2²+2³+2⁴ is divisible by 2 or 4 or by both 2 and 4

CALCULATION

DIVISIBILITY BY 2

$\sf{Since \: each \: of \: 2 \: , {2}^{2} \: and \: {2}^{3} \: \: by \: divisible \: by \: 2}$

$\sf{Hence \: 2 + {2}^{2} + {2}^{3} \: \: is \: divisible \: \: 2\: }$

DIVISIBILITY BY 4

$\sf{Since \: each \: of \: 2 \: , {2}^{2} \: and \: {2}^{3} \: \: by \: divisible \: by \: 4}$

$\sf{Hence \: 2 + {2}^{2} + {2}^{3} \: \: is \: divisible \: \: 4\: }$

RESULT

$\sf{Hence \: 2 + {2}^{2} + {2}^{3} \: \: is \: divisible \: by \: both \: 2\: and \: 4}$

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LEARN MORE FROM BRAINLY

Ifa : b=c:d=e: f= 2:1,

then (a + 2c + 3e) : (5b + 10d + 15f) is equal to:

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