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DerKrebs [107]
4 years ago
15

Please help me under stand this question.

Mathematics
1 answer:
Marizza181 [45]4 years ago
7 0

Answer: 2^{30}

Step-by-step explanation:

In order to solve this exercise it is important to remember:

1. The Negative exponent rule, which states that:

a^{-n}=\frac{1}{a^n}

2. The Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

Therefore, knowing the explained above and having the following expression provided in the exercise:

\frac{2^{14}}{2^{-16}}

You can identify that the numerator and the denominator have the same base 2. Then, you can simplify the expresssion as following:

(2^{14})(2^{16})=2^{(14+16)}=2^{30}

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Factor the polynomial completely<br> 10³ -25r² - 12r + 30
Olin [163]
ANSWER
(5r^2 - 6)(2r - 5)

EXPLANATION
Factor by grouping
(10r^3 - 25r^2) + (-12r + 30)

Factor a GCF
5r^2 (2r - 5) -6 (2r - 5)

Combine groups
(5r^2 - 6)(2r - 5)

CHECK
Use FOIL

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Inside: -6*2r = -12r
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