Question #6f55d

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Answer 1 · 2017-06-29T03:38:58

0

The solution requires that you know to add exponents when the same base is multiplied.

$2^{55} \cdot 2^{60} = 2^{55 + 60} = 2^{115}$ $2^(55)*2^(60)=2^(55+60)=2^(115)$

Also

$2^{97} \cdot 2^{18} = 2^{97 + 18} = 2^{115}$ $2^(97)*2^(18)=2^(97+18)=2^(115)$

So,

$2^{115} - 2^{115} = 0$ $2^(115)-2^(115)=0$

Answer 2 · 2017-06-29T03:43:31

Answer is 0

Use the laws of exponents to simplify:

$x^{a} \cdot x^{b} = x^{a + b}$ $x^a*x^b=x^(a+b)$

So simplify the equation and solve:

$2^{55} \cdot 2^{60} - 2^{97} \cdot 2^{18}$ $2^55*2^60-2^97*2^18$

$= 2^{55 + 60} - 2^{97 + 18}$ $=2^(55+60)-2^(97+18)$

$= 2^{115} - 2^{115}$ $=2^115-2^115$

$= 0$ $=0$