Math

QuestionCalculate the expression: 25(56)+9÷32^{5}(5-6)+9 \div 3.

Studdy Solution

STEP 1

Assumptions1. We are given the expression 5(56)+9÷3^{5}(5-6)+9 \div3. . We will 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 calculate the exponent.
25=322^{5} =32So, the expression becomes32(56)+9÷32(5-6)+9 \div

STEP 3

Next, we perform the operation inside the parentheses.
56=15-6 = -1So, the expression becomes32(1)+9÷332(-1)+9 \div3

STEP 4

Now, we perform the multiplication operation.
32(1)=3232(-1) = -32So, the expression becomes32+9÷3-32+9 \div3

STEP 5

Next, we perform the division operation.
9÷3=39 \div3 =3So, the expression becomes32+3-32+3

STEP 6

Finally, we perform the addition operation.
32+3=29-32+3 = -29So, the solution to the given expression is -29.

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