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Mathematics 10 Online
OpenStudy (anonymous):

See attachment.

OpenStudy (anonymous):

OpenStudy (across):

When exponents with equal bases multiply each other, their exponents get added:\[x^a\cdot x^b=x^{a+b}.\]However, since your expression has different bases, the best you can do is to make their exponents have equal bases:\[x^{\frac{1}{2}}\cdot y^{\frac{1}{5}}\cdot z^{\frac{1}{6}}=x^{\frac{15}{30}}\cdot y^{\frac{6}{30}}\cdot z^{\frac{5}{30}}.\]

OpenStudy (across):

I assume you know how to express that in radical form.

OpenStudy (dumbcow):

Find least common multiple of 2,5,6 --> 30 Then rewrite rational exponents such that they have same denominator The denominator is always the root of the radical while the numerator is the power inside radical

OpenStudy (anonymous):

?

OpenStudy (dumbcow):

\[\large x^{m/n} = \sqrt[n]{x^{m}}\]

OpenStudy (anonymous):

lol i'm SO confused.

OpenStudy (anonymous):

whats the answer?

OpenStudy (dumbcow):

across showed you how to convert exponents so they have equal denominators, i showed you how you convert that to radical form what is the denominator? it must match the root then check if the powers inside match the numerators for x,y,z

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