Let's simplify each expression step by step:
-
36 divided by (4 + 2^3):
- First, calculate \(2^3\): \[ 2^3 = 8 \]
- Then add 4: \[ 4 + 8 = 12 \]
- Now divide 36 by the result: \[ 36 \div 12 = 3 \]
- So, the simplified expression is: \[ 3 \]
-
14 + (9^3 - 5^2):
- First, calculate \(9^3\): \[ 9^3 = 729 \]
- Next, calculate \(5^2\): \[ 5^2 = 25 \]
- Now subtract \(25\) from \(729\): \[ 729 - 25 = 704 \]
- Finally, add \(14\): \[ 14 + 704 = 718 \]
- So, the simplified expression is: \[ 718 \]
-
Square root of 121:
- The square root of \(121\) is: \[ \sqrt{121} = 11 \]
- So, the simplified expression is: \[ 11 \]
-
Square root of 289:
- The square root of \(289\) is: \[ \sqrt{289} = 17 \]
- So, the simplified expression is: \[ 17 \]
In summary, the simplified answers are:
- \(3\)
- \(718\)
- \(11\)
- \(17\)