3 + 2²(1 + 8)

Understand the Problem

The question involves evaluating a mathematical expression which includes operations such as addition, exponentiation, and parentheses.

Answer

The result of the expression $ 3 + 2^2(1 + 8) $ is $ 39 $.

Steps to Solve

Evaluate the parentheses

Start by evaluating the expression inside the parentheses.

$$(1 + 8) = 9$$

Now the expression becomes:

$$3 + 2^2(9)$$

Calculate the exponent

Next, calculate the exponent $2^2$.

$$2^2 = 4$$

So now the expression updates to:

$$3 + 4(9)$$

Multiply the terms

Now multiply $4$ and $9$ together.

$$4 \times 9 = 36$$

The expression is now:

$$3 + 36$$

Perform the addition

Finally, add $3$ and $36$.

$$3 + 36 = 39$$

The final result is ( 39 ).

More Information

This expression demonstrates the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). Properly following these steps ensures accurate calculations in mathematical expressions.

Tips

Ignoring the order of operations: Sometimes people evaluate operations from left to right without considering the order specified (e.g., calculating addition before exponents). To avoid this, always remember to follow the PEMDAS/BODMAS order.
Miscalculating within parentheses: Ensure that the arithmetic inside the parentheses is done correctly before proceeding.

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