Question

how do i calculate this

Answer 1

\[8^{2/3}\]

Answer 2

Think of it as \[\huge (8^2)^{1/3}\] where \[\huge x^{1/3} = \sqrt[3]{x}\]

Answer 3

Take your pick: \(8^{2/3} = \left(\sqrt[3]{8}\right)^{2} = \sqrt[3]{8^{2}}\)

Answer 4

\[\sqrt[3]{8{^{2}}}\]
\[\sqrt[3]{64}\]
\[= 4\]
is this right???

Answer 5

yeah :)

Answer 6

That's fine. With a little experience, you can pick the EASY way IF there is one.

Rather than going up to 64 and than down to 4
You may wish to go down to 2 and then up to 4.

Answer 7

Illustration: 8 = 2^3. Therefore, \[8^{\frac{ 2 }{ 3 }}=(2^3)^{\frac{ 2 }{ 3 }}.\]

Answer 8

Can you now simplify the right side of this equation? Hint: mult (2/3) by 3.

Answer 9

As always, we see that unique answers don't care how you find them. :-)

Answer 10

Thank you