Math

QuestionCalculate the value of 4(7+33)4 \cdot (7 + 3^3).

Studdy Solution

STEP 1

Assumptions1. We are given the expression 4(7+33)4 \cdot\left(7+3^{3}\right). We need to simplify this expression3. We follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to solve the operation inside the parentheses. According to PEMAS, we should solve the exponent first.
=^{} = \cdot \cdot

STEP 3

Calculate the value of 333^{3}.
33=273^{3} =27

STEP 4

Now, replace 333^{3} with27 in the original expression.
4(7+27)4 \cdot\left(7+27\right)

STEP 5

Next, perform the addition inside the parentheses.
7+27=347 +27 =34

STEP 6

Replace the expression inside the parentheses with the result from the previous step.
4344 \cdot34

STEP 7

Finally, perform the multiplication.
434=1364 \cdot34 =136So, 4(7+33)=1364 \cdot\left(7+3^{3}\right) =136.

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