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Order the expressions from least to greatest.

2^(3)-2^(1)quad2^(1)+3^(1)quad3^(2)

Order the expressions from least to greatest. $\newline$ $2^{3}-2^{1} \quad 2^{1}+3^{1} \quad 3^{2}$

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Simplify radical expressions involving fractions

Full solution

Q. Order the expressions from least to greatest.

\newline

2^{3}-2^{1} \quad 2^{1}+3^{1} \quad 3^{2}

Evaluate first expression: Evaluate the first expression $2^{3} - 2^{1}$ . $\newline$ $2^{3}$ means $2$ raised to the power of $3$ , which is $2 \times 2 \times 2 = 8$ . $\newline$ $2^{1}$ means $2$ raised to the power of $1$ , which is $2$ . $\newline$ Now subtract the second value from the first: $8 - 2 = 6$ .
Evaluate second expression: Evaluate the second expression $2^{1} + 3^{1}$ . $\newline$ $2^{1}$ is $2$ raised to the power of $1$ , which is $2$ . $\newline$ $3^{1}$ is $3$ raised to the power of $1$ , which is $3$ . $\newline$ Now add the two values: $2 + 3 = 5$ .
Evaluate third expression: Evaluate the third expression $3^{2}$ . $\newline$ $3^{2}$ means $3$ raised to the power of $2$ , which is $3 \times 3 = 9$ .
Compare evaluated expressions: Compare the evaluated expressions to order them from least to greatest. $\newline$ We have the following values: $\newline$ First expression: $6$ $\newline$ Second expression: $5$ $\newline$ Third expression: $9$ $\newline$ Ordering these from least to greatest gives us: $5, 6, 9$ .

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