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Sedbober [7]
2 years ago
6

Choose the correct simplification of the expression the quantity a to the 3rd power over b to the 7th power all raised to the 2n

d power. a to the 5th power over b to the 9th power a over b to the 14th power a to the 6th power over b to the 14th power a6b14
Mathematics
2 answers:
sertanlavr [38]2 years ago
8 0
(\frac{a^3}{b^7})^2=\frac{a^{3 \times 2}}{b^{7\times2}}= \frac{a^6}{b^{14}}
Maksim231197 [3]2 years ago
5 0
(a^3/b^7)^2
Bring the power of 2 into the numerator and denominator.
a^6/b^14
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I cannot find the answer on my own, I need a lil' bit of help.
viktelen [127]

for any fraction a/b, the decimal format of it is just a ÷ b.

A)

is the number rational?

well, a rational number is one we can write as a ration or fraction, well clearly is a fraction so it is rational.


B)

can it be written as a repeating/recurring decimal?  well, 9/20 is 0.45, so -9/20 is -0.45, no repeating decimal like 0.454545......... , just a plain vanilla -0.45, so nope.


C)

is it less than -0.4?

well, let's recall that for the negative side on the number line, the closer to 0, the larger the number, so then -1,000,000 is much smaller than -1, because -1 is closer to 0.

who is closer -0.4 or -0.45?

|---------------------  -0.45  --------  -0.40  -------------------  0  ---------------  1  -------------------|

so, -0.45 is farther from 0, and therefore is smaller than -0.4, so yes.

4 0
3 years ago
Jacob wants to know the favorite sport among 6th grade students. Which types of survey below would give Jacob valid results?
Anastasy [175]
Answers are A, D
Because they will have people that don’t like sports and do like sports where as if you survey them in a sports shop there gonna like sports otherwise they wouldn’t be there
4 0
2 years ago
Read 2 more answers
What is the common ratio of 2, 10/3, 50/9
mojhsa [17]

The common ratio of 2, 10/3, 50/9 is \frac{10}{6}

<u>Solution:</u>

Given, series of elements are 2, \frac{10}{3}, \frac{50}{9}

We have to find the common ratio of the above given series.

We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.

So, now take \frac{10}{3} and 2

\text { Then, common ratio }=\frac{\frac{10}{3}}{2}

\begin{array}{l}{\text { Common ratio }=\frac{10}{3} \times \frac{1}{2}} \\\\ {\text { Common ratio }=\frac{10}{3 \times 2}=\frac{10}{6}}\end{array}

Hence, the common ratio of the given series is \frac{10}{6}

6 0
3 years ago
a crew workers paved 2/15 mile in 20 minutes. if they work at the same rate what portion of a mile will they pave in one hour?
ANEK [815]
Since 20 min is 1/3 of a mile 20 min*3=1 hour. then u multiply 2/5 by 3 to get 6/5.
6 0
3 years ago
A house that was originally listed for sale at $450,000 has decreased the asking price by 8%. By how much has the price been red
matrenka [14]
450000 * .08
= 36,000
They reduce $36,000 from the original price.
5 0
3 years ago
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