How do you simplify $((1/2)x^4)^3$ ?

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Answer 1 · 2016-05-26T16:29:59

$(x^12)/8$

This is the same as $(x^4)^3xx(1/2)^3$

$(x^(4xx3))xx1/(2^3)$

$x^12xx1/8 " "->" " (x^12)/8$

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Further explanation:

Consider: $" "(x^4)^3$ This is another way of writing $x^4xxx^4xxx^4$

Think for a moment about $axxa -> a^1xxa^1=a^(1+1) = a^(2xx1)=a^2$

so $x^4xxx^4xxx^4= x^(4+4+4) = x^(3xx4)$

So $(x^4)^3=x^(4xx3) = x^(12)$
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How do you simplify ((1/2)x^4)^3((1/2)x^4)^3?