How do you simplify $\frac{2^{3} ∙ {(2^{4})}^{4}}{2^{3}}$ $(2^3•(2^4)^4 )/2^3$ ?

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Answer 1 · 2016-07-30T17:00:15

$2^{16}$ $2^16$

There is very little simplifying to be done:

$\frac{2^{3} \times {(2^{4})}^{4}}{2^{3}}$ $(2^3xx(2^4)^4 )/2^3$

= $(cancel2^3xx(2^4)^4 )/cancel2^3 " cancel same factors"$

$(2^4)^4 = 2^16 " " (x^m)^n = x^(mn)$

This is best left in index form.

How do you simplify (2^3•(2^4)^4 )/2^323∙(24)423(2^3•(2^4)^4 )/2^3?