a = 3; b = a + 5; a = a ** b; print((a/b) + 2); b = b % 2 + 0.7
Understand the Problem
The question involves a series of mathematical operations and a print statement in a programming-like format. It asks for the computation involving variables 'a' and 'b' through a sequence of assignments and calculations.
Answer
The output value is $822.125$.
Answer for screen readers
The result of the print statement is $822.125$.
Steps to Solve
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Initialize the variables
We start with the value of $a$ and derive the value of $b$.
$$ a = 3 $$ $$ b = a + 5 = 3 + 5 = 8 $$
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Calculate $a$ with exponentiation
Next, we update the value of $a$ using exponentiation with $b$.
$$ a = a ** b = 3 ** 8 $$
To compute $3^8$:
$$ 3^8 = 6561 $$
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Print the expression
We need to print the result of the expression $\frac{a}{b} + 2$.
Substitute the values of $a$ and $b$:
$$ \frac{6561}{8} + 2 $$
First calculate $\frac{6561}{8}$:
$$ \frac{6561}{8} = 820.125 $$
Then add 2:
$$ 820.125 + 2 = 822.125 $$
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Update $b$ based on modulus operation
Now we update $b$ using the given formula:
$$ b = b % 2 + 0.7 $$
First compute $b % 2$:
$$ 8 % 2 = 0 $$
Then add 0.7:
$$ b = 0 + 0.7 = 0.7 $$
The result of the print statement is $822.125$.
More Information
The operations involve basic arithmetic and the use of exponentiation. In this case, we used integer exponentiation to calculate $3^8$, which results in a significant value.
Tips
- Confusing exponentiation with multiplication: Make sure to use the correct operation.
- Miscalculating the division: Take care when dividing to handle decimal values properly.
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