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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.\newline232121+3132 2^{3}-2^{1} \quad 2^{1}+3^{1} \quad 3^{2}

Full solution

Q. Order the expressions from least to greatest.\newline232121+3132 2^{3}-2^{1} \quad 2^{1}+3^{1} \quad 3^{2}
  1. Evaluate first expression: Evaluate the first expression 23212^{3} - 2^{1}.\newline232^{3} means 22 raised to the power of 33, which is 2×2×2=82 \times 2 \times 2 = 8.\newline212^{1} means 22 raised to the power of 11, which is 22.\newlineNow subtract the second value from the first: 82=68 - 2 = 6.
  2. Evaluate second expression: Evaluate the second expression 21+312^{1} + 3^{1}.\newline212^{1} is 22 raised to the power of 11, which is 22.\newline313^{1} is 33 raised to the power of 11, which is 33.\newlineNow add the two values: 2+3=52 + 3 = 5.
  3. Evaluate third expression: Evaluate the third expression 323^{2}.\newline323^{2} means 33 raised to the power of 22, which is 3×3=93 \times 3 = 9.
  4. Compare evaluated expressions: Compare the evaluated expressions to order them from least to greatest.\newlineWe have the following values:\newlineFirst expression: 66\newlineSecond expression: 55\newlineThird expression: 99\newlineOrdering these from least to greatest gives us: 5,6,95, 6, 9.

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