Evaluate negative one thousand three hundred thirty one raised to the two thirds

Question

anonymous · Answer

-1335^(2/3) = ...

campbell_st · Answer

well you need to evaluate 

$$\sqrt[3]{1331^2}$$

anonymous · Answer

(-1331)^2/3

anonymous · Answer

correct

campbell_st · Answer

or an easy way is 

$$1331 = 11^3 $$

so your problem is 

$$(11^3)^\frac{2}{3} $$

multiply the powers for the solution.

campbell_st · Answer

well make your answer negative...

anonymous · Answer

-123 is what I got @campbell_st

campbell_st · Answer

lol... not close 

so the problem is 

$$-1331^\frac{2}{3}  = (-11^3)^\frac{2}{3}$$

the index law for power of a power is 

$$(x^a)^b = x^{a \times b}$$

so you have 

$$-11^{3 \times \frac{2}{3}} = $$

you just need the answer

anonymous · Answer

Lol so confusing, 121 ? @campbell_st

campbell_st · Answer

thats it