Answer:
3/320
Step-by-step explanation:
Order of operations rule require that we perform work presented inside parentheses first.
Working from left to right: 1 1/5 -2/5 = 6/5 - 2/5 = 4/5. Then:
[(1 1/5−2/5)·(−3/4)3]÷(−9) becomes [(4/5)·(−3/4)3]÷(−9)
Note that the quantity (4/5)·(−3/4)3 is inside the square brackets and is thus next to be done. Assuming that by (-3/4)3 you actually meant (-3/4)³, we end up with -27/64, and thus (4/5)·(−3/4)3 becomes (4/5)(-27/64), which reduces to -27/320.
Going back to the result [(4/5)·(−3/4)3]÷(−9) above, we replace (4/5)(-3/4)³ with -27/320: [-27/320]÷(−9). Here we're dividing one negative number into another, which results in a positive quotient: 3/320
