## dtan5457 one year ago someone explain this expression

1. dtan5457

2. jtvatsim

It's the cube root of 64 times a raised to the 16th power. Although, are you getting at something deeper?

3. dtan5457

i get the fact that cube root of 64=4 but not sure bout the rest

4. freckles

so your problem is this part? $\sqrt[3]{a^{16}}$

5. dtan5457

acutally i think i got it

6. dtan5457

u can make the radical beneath to have a^15(a)

7. dtan5457

that translates to the answer

8. freckles

$a^\frac{16}{3}=a^{\frac{3(5)+1}{3}}$ I would look for how many 3's are in 16

9. freckles

oh and yes you got it

10. freckles

now you can just divide your exponent junk by 3

11. dtan5457

yep thanks