Mathematics
22.12.2020 05:17
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Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3? A. 648 B. 216 C. 81/8 D. 27/8

Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?

A. 648
B. 216
C. 81/8
D. 27/8
Show Answers
tyler5016
tyler5016
4,5(45 marks)

2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}

julie47d
julie47d
4,5(7 marks)
1/1330 The graph of the revenue function f(x) = -0.07x2 +3.5x is
used to determine revenue in hundreds of thousands of
dollars, where revenue depends on the number of
thousands of items sold, X.

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