(-2 1/3 to the third power) divided by (1 7/8)

-6 314/405

Step-by-step explanation:

( -2 1/3)^3 / (1 7/8)

I am going to change the mixed numbers to improper fractions

2 1/3 = (3*2 +1)/3 = 7/3

1 7/8 = (8*1+7)/8 = 15/8

( -7/3)^3 / (15/8)

I will use copy dot flip

( -7/3)^3 * (8/15)

Now I can split the first term into parts (a/b)^x = a^x/ b^x

(-7)^3/ 3^3 *8/15

-343/27 * 8/15

-2744/405

Now we need to change it back to a mixed number

405 goes into 2744  6 times

6*405 =2430  2744-2430 = 314  

-6 314/405

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.