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Mathematics 17 Online
OpenStudy (legends):

Which of the following best defines

OpenStudy (legends):

OpenStudy (legends):

Square root of 16 Cube root of 4 Square root of 4 Cube root of 16

OpenStudy (igreen):

\(b^{n/m} = (m\sqrt{b})^n = \sqrt[m]{b^n}\)

OpenStudy (igreen):

Sorry that should be \((\sqrt[m]{b})^n\)

OpenStudy (igreen):

Anyway, can you change it to that form? @Legends

OpenStudy (legends):

So its \[4\sqrt{3^{2}}\]

OpenStudy (igreen):

No..

OpenStudy (igreen):

\(b^{\dfrac{n}{m}} = (\sqrt[m]{b})^n = \sqrt[m]{b^n}\)

OpenStudy (igreen):

Try again

OpenStudy (igreen):

In this case: b = 4 n = 2 m = 3

OpenStudy (legends):

2/4*3

OpenStudy (legends):

6

OpenStudy (igreen):

No..

OpenStudy (igreen):

\(4^{\dfrac{2}{3}} \rightarrow \sqrt[3]{4^2}\)

OpenStudy (igreen):

Can you simplify \(4^2\)?

OpenStudy (legends):

Yes

OpenStudy (legends):

it would 4

OpenStudy (igreen):

Um..no.. \(4^2 \rightarrow 4 \times 4\)

OpenStudy (legends):

4*4=16 16/4=4

OpenStudy (igreen):

16 is correct..but we don't divide by 4..

OpenStudy (legends):

Oh ok I see what you did

OpenStudy (igreen):

So we have: \(\sqrt[3]{16}\)

OpenStudy (igreen):

That's our simplified answer..

OpenStudy (legends):

So it would be square root of 16?

OpenStudy (legends):

Thanks @iGreen

OpenStudy (igreen):

The CUBE ROOT of 16.

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