Question

evaluate the following. (4-³ × 6-³ ÷ 2-³ ) -¹​

Answer 1

Answer:

We know the corollary: if a+b+c=0 then a3+b3+c3=3abc

Using the above corollary taking a=−15, b=7 and c=8, we have a+b+c=−15+7+8=0 then the value of (−15)3+(7)3+(8)3 is:

(−15)3+(7)3+(8)3=3(−15×7×8)=−2520

Hence, (−15)3+(7)3+(8)3=−2520