Math  /  Numbers & Operations

Question4. 3(952)-3 \cdot\left(9-5^{2}\right)

Studdy Solution

STEP 1

1. The expression involves basic arithmetic operations: multiplication and subtraction.
2. The exponentiation operation should be performed before multiplication and subtraction, following the order of operations (PEMDAS/BODMAS).

STEP 2

1. Evaluate the exponentiation.
2. Perform the subtraction inside the parentheses.
3. Multiply the result by 3-3.

STEP 3

Evaluate the exponentiation 525^2.
52=25 5^2 = 25

STEP 4

Substitute the result of the exponentiation into the expression and perform the subtraction inside the parentheses.
925 9 - 25
Calculate:
925=16 9 - 25 = -16

STEP 5

Multiply the result by 3-3.
3(16) -3 \cdot (-16)
Calculate:
3(16)=48 -3 \cdot (-16) = 48
The value of the expression is:
48\boxed{48}

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