Math  /  Numbers & Operations

Question62(2)(3)+66^{2}-(2)(3)+6

Studdy Solution

STEP 1

1. The problem involves basic arithmetic operations: exponentiation, multiplication, and addition/subtraction.
2. The expression should be evaluated step-by-step according to the order of operations (PEMDAS/BODMAS).

STEP 2

1. Evaluate the exponentiation.
2. Evaluate the multiplication.
3. Perform the addition and subtraction.

STEP 3

Evaluate the exponentiation 626^2.
62=36 6^2 = 36

STEP 4

Evaluate the multiplication (2)(3)(2)(3).
2×3=6 2 \times 3 = 6

STEP 5

Combine the results of the previous steps and perform the addition and subtraction in the expression 366+636 - 6 + 6.
366+6 36 - 6 + 6

STEP 6

First, perform the subtraction 36636 - 6.
366=30 36 - 6 = 30

STEP 7

Next, add 66 to the result of the subtraction 30+630 + 6.
30+6=36 30 + 6 = 36
Solution: The value of the expression 62(2)(3)+66^2 - (2)(3) + 6 is 3636.

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