How do you simplify $(sqrt(144x))^6$ ?

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Answer 1 · 2018-04-02T10:20:50

$(sqrt(144x))^6=2985984x^3$

We can rewrite square roots as powers of $1/2$ :
$(sqrt(144x))^6=((144x)^(1/2))^6$

Now we can use the following exponent rule:
$(a^n)^m=a^(mn)$

$therefore ((144x)^(1/2))^6=(144x)^(6/2)=(144x)^3$

Now we can use another exponent rule:
$(ab)^n=a^nb^n$

$therefore (144x)^3=144^3*x^3=2985984x^3$

How do you simplify (sqrt(144x))^6(sqrt(144x))^6?