Simplify the following expression:,3 + 5 (9+2n)

Mathematics

1 answer:

Rasek [7]3 years ago

6 0

3 + 5(9+2n)
Distribute the 5 to the items in the parentheses
3 + 5(9+2n)
3 + 45 + 10n
Combine like terms
48 + 10n

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1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power 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.