Solve. 5x – 10 <20 O (-00, 2] O (-0,2) O (-00, 6] O (-0, 6)

Mathematics

1 answer:

aleksandr82 [10.1K]4 years ago

4 0

The answer I got was -∞21/5

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1. A. 1

2. D. $17^9$

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Properties used:

Power of a Power Property
Product Property
Quotient Property
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1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.