A bottle of tomato ketchup contains 250g and costs $1.30. How much would 1kg cost?
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What that looks like under a radical is this: ![\sqrt[6]{( \frac{2}{3}) ^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B6%5D%7B%28%20%5Cfrac%7B2%7D%7B3%7D%29%20%5E%7B2%7D%20%20%7D%20)
. The 6 is called the index and will replace the denominator in our power, and the 2 is the power on the base 2/3 which will replace the numerator in our final exponent. So what we have, rewritten, is this: 
. Of course that exponent can be reduced so what the actual exponent is is 1/3. Our final simplified expression is 