cube root of 56 x to the fourteenth power.
what are the directions to this? o.o is there any other info to this problem ? what topic / subject does this fall under?
algebra 2; radicals
\[\large (\sqrt[4]{56x})^{14}\] is this the question?
make that 4 a 3, cubic... yeah
yes
Well, note that this is the same as \[\large((56x)^{\frac14})^{\frac1{14}}\] try and remember the rules of exponents, if you get stuck lemme know.
is the answer 2x^4 cube root 7x^2 ?
\[\large((56x)^{\frac13})^{14} \]
thats the answer ?
No, just making sure I have the question right. I'd break it into \[ (56x)^{\frac{12}{3}} (56x)^{\frac23} \]
first part gives us (56x)^4
for the second part : (56x)^(2/3)= (7*2^3)^(2/3) = 7^(2/3) * 2^2 = 4* 49^(1/3)
the question is ^3\[\sqrt{56x}\]^14
Yes the problem is \[(\sqrt[3]{56x})^{14}\]
which is the same as \[ (56x)^{\frac{14}{3}} \]
\[4(56x)^4\sqrt[3]{49x^2}\]
forgot the x^2
Did I lose you?
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