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Mathematics 15 Online
OpenStudy (vshiroky):

Verify

OpenStudy (vshiroky):

4?

OpenStudy (fibonaccichick666):

Here check with me: if you take 4^4th power, does that equal 256?

OpenStudy (vshiroky):

No, its 16 but if you simplify it would be 4?

OpenStudy (fibonaccichick666):

4^4th power?

OpenStudy (vshiroky):

16

OpenStudy (fibonaccichick666):

\(4^4 \not=16\) \(4^2=16\)

OpenStudy (vshiroky):

4^4 is 256

OpenStudy (fibonaccichick666):

yup so then is 4 our answer?

OpenStudy (vshiroky):

No? is 16?

OpenStudy (fibonaccichick666):

why?

OpenStudy (fibonaccichick666):

Can you explain your reasoning

OpenStudy (vshiroky):

cause the square root of 256 is 16

OpenStudy (fibonaccichick666):

but are we solving for a square root?

OpenStudy (vshiroky):

I don't know can you explain?

OpenStudy (kc_kennylau):

It's the 4th root instead of a square root

OpenStudy (agent0smith):

The little 4 means the 4th root - ie what number do you have to multiply by itself 4 times

OpenStudy (vshiroky):

4

OpenStudy (agent0smith):

\[\Large \sqrt[4]{256} = \sqrt[4]{4^4} = 4\]

OpenStudy (vshiroky):

SO i was i right to begin with @agent0smith?

OpenStudy (fibonaccichick666):

have you seen a cubed root before? it looks like this [\sqrt[3]{8}\]

OpenStudy (fibonaccichick666):

whoops \[\sqrt[3]{8}\]

OpenStudy (kc_kennylau):

\(\sqrt[3]8=2\because2^3=8\)

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