QuestionEvaluate: $-8 + 2 \cdot 5^{2} - 7 =$

Studdy Solution

STEP 1

Assumptions1. We are using the standard order of operations, also known as BIDMAS or PEMAS, which stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to perform the operation with the exponent (or index), which is $5^{2}$ .
$5^{2} =25$

STEP 3

Now, replace $5^{2}$ in the original expression with25.
$-8+2 \cdot25 -7$

STEP 4

Next, we need to perform the multiplication operation, which is $2 \cdot25$ .
$2 \cdot25 =50$

STEP 5

Now, replace $2 \cdot25$ in the expression with50.
$-8+50-7$

STEP 6

Now, we perform the addition and subtraction from left to right. First, add $-8$ and $50$ .
$-8 +50 =42$

STEP 7

Now, replace $- +50$ in the expression with42.
$42 -7$

STEP 8

Finally, subtract7 from42.
$42 -7 =35$ So, the value of the expression $-8+2 \cdot5^{2}-7$ is35.

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