Q. Simplify the expression completely.4364−4+3−729Answer:
Find Cube Root of 64: Simplify 4364. The cube root of 64 is 4, because 43=64. So, 4364=4×4=16.
Find Square Root of 4: Simplify 4.The square root of 4 is 2, because 22=4.So, 4=2.
Find Cube Root of −729: Simplify 3−729.The cube root of −729 is −9, because (−9)3=−729.So, 3−729 = −9.
Combine Results: Combine the results from steps 1, 2, and 3.We have 16 from step 1, −2 from step 2 (since we subtract the square root of 4), and −9 from step 3.Combine these values: 16−2−9.
Perform Subtraction: Perform the subtraction. 16−2−9=14−9=5.