Order the expressions from least to greatest. 5^(2)quad4^(2)+2^(2)quad6^(2)-6

Calculate 5 raised to the power of 2: Calculate the value of 5^(2). 5^(2) means 5 raised to the power of 2. Calculation: 5 * 5 = 25Calculate the sum of 4 squared and 2 squared: Calculate the value of 4^(2)+2^(2). 4^(2) means 4 raised to the power of 2, and 2^(2) means 2 raised to the power of 2. Calculation: (4 * 4) + (2 * 2) = 16 + 4 = 20Calculate 6 squared minus 6: Calculate the value of 6^(2)-6. 6^(2) means 6 raised to the power of 2. Calculation: (6 * 6) - 6 = 36 - 6 = 30Order the calculated values: Compare the calculated values to order them from least to greatest. We have the following values: 5^(2) = 25 4^(2)+2^(2) = 20 6^(2)-6 = 30 Ordering: 4^(2)+2^(2) < 5^(2) < 6^(2)-6

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Math Problems

Algebra 1

Negative exponents

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Q. Order the expressions from least to greatest.

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5^{2} \quad 4^{2}+2^{2} \quad 6^{2}-6

Calculate $5$ raised to the power of $2$ : Calculate the value of $5^{2}$ . $\newline$ $5^{2}$ means $5$ raised to the power of $2$ . $\newline$ Calculation: $5 \times 5 = 25$
Calculate the sum of $4^2$ and $2^2$ : Calculate the value of $4^{2}+2^{2}$ . $\newline$ $4^{2}$ means $4$ raised to the power of $2$ , and $2^{2}$ means $2$ raised to the power of $2$ . $\newline$ Calculation: $(4 \times 4) + (2 \times 2) = 16 + 4 = 20$
Calculate $6^2 - 6$ : Calculate the value of $6^{2}-6$ . $\newline$ $6^{2}$ means $6$ raised to the power of $2$ . $\newline$ Calculation: $(6 \times 6) - 6 = 36 - 6 = 30$
Order the calculated values: Compare the calculated values to order them from least to greatest. $\newline$ We have the following values: $\newline$ $5^{2} = 25$ $\newline$ $4^{2}+2^{2} = 20$ $\newline$ $6^{2}-6 = 30$ $\newline$ Ordering: 4^{2}+2^{2} < 5^{2} < 6^{2}-6