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

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

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Answer 1 · 2018-03-06T18:17:43

The answer is $144$ $144$ .

Explanation:

In standard form, $2^{7}$ $2^7$ would be $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$ $2xx2xx2xx2xx2xx2xx2$ which equals $128$ $128$ .

And $2^{4}$ $2^4$ would be $2 \times 2 \times 2 \times 2$ $2xx2xx2xx2$ and it equals $16$ $16$ .

$128 + 16 = 144$ $128+16 = 144$

Answer 2 · 2018-03-06T18:19:01

$2^{7} + 2^{4} = 144$ $2^7+2^4=144$

Explanation:

$2^{7} + 2^{4} = 2^{4 + 3} + 2^{4}$ $2^7+2^4=2^(4+3) +2^4$
$= 2^{4} \times 2^{3} + 2^{4}$ $=2^4xx2^3+2^4$
$= 2^{4} \times (2^{3} + 1)$ $=2^4xx(2^3+1)$
$2^{3} = 8, 2^{4} = 16$ $2^3=8, 2^4=16$
$2^{3} \times (2^{4} + 1) = 16 \times (8 + 1)$ $2^3xx(2^4+1)=16xx(8+1)$
$= 16 \times 9$ $=16xx9$
$= 144$ $=144$
Hence,
$2^{7} + 2^{4} = 144$ $2^7+2^4=144$

Answer 3 · 2018-03-06T18:35:25

$144$ $144$

Explanation:

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

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

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

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

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

$= 16 (8 + 1)$ $=16(8+1)$

$= 16 \times 9$ $=16 xx9$

$= 144$ $=144$

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