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Mathematics 8 Online
OpenStudy (anonymous):

10√x5•x4•x2 simply

OpenStudy (anonymous):

@OregonDuck

OpenStudy (danjs):

those are powers right

OpenStudy (anonymous):

yes

OpenStudy (danjs):

\[10\sqrt{x^5}* x^4 *x^2\]

OpenStudy (danjs):

is the 5 under the root or outside

OpenStudy (anonymous):

yes

OpenStudy (danjs):

remember \[\sqrt{x} = x ^{1/2}\]

OpenStudy (danjs):

also remember, a power raised to a power, you multiply them together... \[[x^{a}]^b = x^{a*b}\]

OpenStudy (danjs):

and lastly, remember, multiplying a base raised to two powers, you ADD them \[x^a * x^b = x^{a+b}\]

OpenStudy (danjs):

so, with those notes, can you start it

OpenStudy (anonymous):

i got x = 5

OpenStudy (danjs):

you cant solve for x, it is not an equation, just make it look different, simpler

OpenStudy (anonymous):

x^ 10/11

OpenStudy (danjs):

...ill show you step by step

OpenStudy (danjs):

For the first root term \[10\sqrt{x^5} = 10[x ^{5}]^{1/2} = 10x^{5*1/2} = 10x^{5/2}\]

OpenStudy (danjs):

Then when multiplying that by x^4 and x^2 you add the exponents \[10x^{5/2}*x^4*x^2 = 10x^{5/2+4+2}\]

OpenStudy (danjs):

so i got \[10x^{17/2}\]

OpenStudy (danjs):

you just have to remember the three or so basic exponent rules, then you can do all the probs

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