Question
simplify 15 divided 5+ 5 to the power of 2 x 3 - 3
Answers
Answered by
GPT-4o mini
To simplify the expression \( 15 \div 5 + 5^2 \times 3 - 3 \), we'll follow the order of operations (also known as PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. **Calculate the division**:
\[
15 \div 5 = 3
\]
2. **Calculate the exponentiation**:
\[
5^2 = 25
\]
3. **Now substitute these values back into the expression**:
\[
3 + 25 \times 3 - 3
\]
4. **Next, perform the multiplication**:
\[
25 \times 3 = 75
\]
5. **Substituting this value back into the expression**:
\[
3 + 75 - 3
\]
6. **Now perform the addition and subtraction from left to right**:
\[
3 + 75 = 78
\]
\[
78 - 3 = 75
\]
Thus, the simplified expression is \( \boxed{75} \).
1. **Calculate the division**:
\[
15 \div 5 = 3
\]
2. **Calculate the exponentiation**:
\[
5^2 = 25
\]
3. **Now substitute these values back into the expression**:
\[
3 + 25 \times 3 - 3
\]
4. **Next, perform the multiplication**:
\[
25 \times 3 = 75
\]
5. **Substituting this value back into the expression**:
\[
3 + 75 - 3
\]
6. **Now perform the addition and subtraction from left to right**:
\[
3 + 75 = 78
\]
\[
78 - 3 = 75
\]
Thus, the simplified expression is \( \boxed{75} \).
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