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Mathematics 28 Online
OpenStudy (anonymous):

Algebra II Help please

OpenStudy (anonymous):

Part 1: Explain, in complete sentences, how you would multiply the following expression: twelfth root of x to the fifth power times sixth root of x (2 points) Part 2: Write the simplified answer in radical form. (2 points)

OpenStudy (anonymous):

\[\sqrt[12]{x ^{5}}*\sqrt[6]{x}\]

OpenStudy (anonymous):

@Kaitlyn_The_Math_Wizs is that right?

OpenStudy (anonymous):

*that is right

OpenStudy (tyteen4a03):

Remember that \(\sqrt[a]{b^c} = b^\frac{c}{a}\).

OpenStudy (anonymous):

so if \[\sqrt[a]{b ^{c}}\] would the first part of the expression be \[x \frac{ 5 }{ 12 }\]

OpenStudy (tyteen4a03):

x to the power of 5/12, yes.

OpenStudy (anonymous):

so how would i multiply this expression

OpenStudy (tyteen4a03):

Remember our laws of indices: \(x^a \times x^b = \) x^(a+b).

OpenStudy (anonymous):

I dont understand

OpenStudy (anonymous):

you have \[x^\frac{ 5 }{ 12 }\] as the first part of your expression, what is the second part expressed in the same form?

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