Evaluate the expression. Do not round your answer. 2(3^(2)+4^(2))=

Calculate square of 3: Calculate the square of 3. Reasoning: The expression contains 3 raised to the power of 2, which means 3 multiplied by itself. Calculation: 3^2 = 3 * 3 = 9Calculate square of 4: Calculate the square of 4. Reasoning: The expression contains 4 raised to the power of 2, which means 4 multiplied by itself. Calculation: 4^2 = 4 * 4 = 16Add results from Step 1 and Step 2: Add the results from Step 1 and Step 2. Reasoning: The expression requires the sum of 3^2 and 4^2. Calculation: 9 + 16 = 25Multiply sum by 2: Multiply the sum by 2. Reasoning: The expression has a factor of 2 outside the parentheses, which needs to be distributed to the sum inside the parentheses. Calculation: 2 * 25 = 50

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Math Problems

Algebra 1

Negative exponents

Full solution

Q. Evaluate the expression.

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Do not round your answer.

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2\left(3^{2}+4^{2}\right)=

Calculate square of $3$ : Calculate the square of $3$ . $\newline$ Reasoning: The expression contains $3$ raised to the power of $2$ , which means $3$ multiplied by itself. $\newline$ Calculation: $3^2 = 3 \times 3 = 9$
Calculate square of $4$ : Calculate the square of $4$ . $\newline$ Reasoning: The expression contains $4$ raised to the power of $2$ , which means $4$ multiplied by itself. $\newline$ Calculation: $4^2 = 4 \times 4 = 16$
Add results from Step $1$ and Step $2$ : Add the results from Step $1$ and Step $2$ . $\newline$ Reasoning: The expression requires the sum of $3^2$ and $4^2$ . $\newline$ Calculation: $9 + 16 = 25$
Multiply sum by $2$ : Multiply the sum by $2$ . $\newline$ Reasoning: The expression has a factor of $2$ outside the parentheses, which needs to be distributed to the sum inside the parentheses. $\newline$ Calculation: $2 \times 25 = 50$