How do you simplify $2^7+2^4$ ?

Question

2874 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-06T18:17:43

The answer is $144$ .

In standard form, $2^7$ would be $2xx2xx2xx2xx2xx2xx2$ which equals $128$ .

And $2^4$ would be $2xx2xx2xx2$ and it equals $16$ .

$128+16 = 144$

Answer 2 · 2018-03-06T18:19:01

$2^7+2^4=144$

$2^7+2^4=2^(4+3) +2^4$
$=2^4xx2^3+2^4$
$=2^4xx(2^3+1)$
$2^3=8, 2^4=16$
$2^3xx(2^4+1)=16xx(8+1)$
$=16xx9$
$=144$
Hence,
$2^7+2^4=144$

Answer 3 · 2018-03-06T18:35:25

$144$

Compare $2^7 + 2^4$ with $x^7 + x^4$

We can factorise $x^7 +x^4$

$=x^4(x^3+1)" "larr$ cannot be simplified further

Do the same with $2^7 +2^4$

$=2^4(2^3+1)" "larr$ they are values and can be calculated:

$=16(8+1)$

$=16 xx9$

$=144$

How do you simplify 2^7+2^42^7+2^4?