Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

simplify ^3√x^7

OpenStudy (anonymous):

\[\sqrt[3]{x^7}\]this is what it looks like

OpenStudy (sweetburger):

X^2sqrt(x)

OpenStudy (australopithecus):

\[\sqrt[3]{x^7} = x^{\frac{7}{3}} \] you can simplify this easily

OpenStudy (australopithecus):

remember, \[a^ba^c = a^{b+c}\] just split the term to simplify

OpenStudy (australopithecus):

remember fraction addition subtraction

OpenStudy (anonymous):

i don't understand any of this. i'm sorry.

OpenStudy (australopithecus):

\[10^410^4 = 10^8\] here is an example of that exponent addition rule

OpenStudy (australopithecus):

do you see how you can simplify this problem now? You want to make 7/3 smaller, 3 goes into 7 how many times? You want to make the numerator on the power as small as possible

OpenStudy (australopithecus):

Not sure if I can explain it any better than this without giving away the answer. Unless you dont understand the addition of fractions. \[\frac{a+c}{b} = \frac{a}{b} + \frac{c}{b}\] ------------------------------------------------------------ BUT NOT \/ \[\frac{b}{b+a} \neq \frac{b}{a} + \frac{b}{b}\] This is wrong

OpenStudy (australopithecus):

not sure if I can provide you with any more assistance on this problem I have shown you all the math rules you need to solve this question.

OpenStudy (australopithecus):

Another example to be nice it is also a hint! \[\frac{5}{2} = \frac{3}{2} + \frac{2}{2}\] Finally just you should know that \[a^1 = a\] \[a^{-1} = \frac{1}{a^1} = \frac{1}{a}\] \[\frac{1}{a^{-1}} = a^{1} = a\]

OpenStudy (anonymous):

i still don't understand but thanks

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!