Mathematics
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OpenStudy (anonymous):
simplify 64 2/3.
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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?
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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?
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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?
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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.
\[64^{\frac{2}{3}}=16\]
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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):
???
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OpenStudy (anonymous):
i hope its correct.. thanks though
jhonyy9 (jhonyy9):
ok good luck
bye