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Mathematics 21 Online
OpenStudy (anonymous):

simplify 64 2/3.

jhonyy9 (jhonyy9):

have you idea ?

OpenStudy (mertsj):

Do you mean: \[64^{\frac{2}{3}}\]

OpenStudy (anonymous):

yes

OpenStudy (mertsj):

\[64^{\frac{2}{3}}=(\sqrt[3]{64})^2\]

OpenStudy (mertsj):

What is the third root of 64?

jhonyy9 (jhonyy9):

so i think that 2/3 not wann being exponent ,right ?

OpenStudy (anonymous):

8 is the square root of 64

OpenStudy (mertsj):

But we want the third root of 64 not the second (square) root

OpenStudy (mertsj):

|dw:1336249172412:dw|

OpenStudy (mertsj):

What would go in that parentheses to make a true sentence?

OpenStudy (anonymous):

4

OpenStudy (mertsj):

Yes. The third root of 64 is 4 because 4 to the third power is 64

OpenStudy (anonymous):

so the answer is 4??

OpenStudy (mertsj):

So now we have: \[(\sqrt[3]{64})^2=(4)^2\]

OpenStudy (anonymous):

so 8?

OpenStudy (mertsj):

So what is 4^2?

OpenStudy (mertsj):

4 times 2 is 8 but what is 4 to the second power?

OpenStudy (mertsj):

\[4^2=4\times4=?\]

OpenStudy (anonymous):

16

OpenStudy (mertsj):

There you go. \[64^{\frac{2}{3}}=16\]

OpenStudy (mertsj):

Just remember...with a fractional exponent the bottom number is the root and the top number is the power.

jhonyy9 (jhonyy9):

,,Mertsj" is sure that 2/3 wann being exponent there ????

OpenStudy (mertsj):

All I know Jhonyy9 is that the asker said that is the problem.

jhonyy9 (jhonyy9):

or he wann 64 like integer with 2/3

jhonyy9 (jhonyy9):

???

OpenStudy (anonymous):

i hope its correct.. thanks though

jhonyy9 (jhonyy9):

ok good luck bye

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