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3 years ago

Find the missing term (x^12)^5*(x^-2)^9___=(x^40)^5

1 answer:

6 0

(x^12)^5=x^(12*5)=x^60
(x^(-2))^9=x^(-18)
x^60*x^(-18)=x^(40) and we need to find x^a such that
x^(42)*x^a=x^(40)^5
x^a=x^(40)^5*x^(-42)
x^a=x^(200)x^(-42)
x^a=x^(200-42)
x^a=x^158
so the missing term is x^158

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Step-by-step explanation:

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Greatest number of books = 4,608/24

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3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

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Minimum number of layers = Height of the box/Height of a book

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Upon saying that, we have:

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Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

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