How do you simplify $\frac{2^{8}}{2^{3}}$ $2^8/2^3$ ?

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Answer 1 · 2017-07-31T20:54:51

$\frac{2^{8}}{2^{3}} = 32$ $(2^8)/(2^3) = color(blue)(32$

Simplifying this rational expression is straightforward since the bases are the same.

We follow the exponet rule:

$\frac{x^{a}}{x^{b}} = x^{a - b}$ $(x^a)/(x^b) = x^(a-b)$

So

$(2^8)/(2^3) = 2^(8-3) = 2^5 = color(blue)(ul(32$

Answer 2 · 2017-07-31T20:56:39

$32$

When dividing exponents with the same bases, subtract their powers.

$x^a/x^b=x^(a-b)$

So, $2^8/2^3=2^(8-3)=2^5 = 32$ .

We can verify our answer by writing out the exponent and canceling:

$2^8/2^3 = (cancel(2)*cancel(2)*cancel(2)*2*2*2*2*2)/(cancel(2)*cancel(2)*cancel(2))= 2^5 =32$

How do you simplify 2^8/2^328232^8/2^3?