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mel-nik [20]
3 years ago
5

Rewrite the expression using only positive integer exponents.

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

So we got:

\left(m^{\frac{2}{3}}n^{\frac{-1}{3}}\right)^6

m^4\left(n^{\frac{-1}{3}}\right)^6\\

More attention for (n^{\frac{-1}{3}}\right))^6\\

n^{-2}

\frac{1}{n^2}

Join:

m^4\frac{1}{n^2}

\frac{1\cdot \:m^4}{n^2}\\\frac{m^4}{n^2}

Therefore, the answer is \frac{m^4}{n^2} , letter A

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Answer:

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Step-by-step explanation:


5 0
4 years ago
A bone fragment has 67% of the parent Pb-210 remaining. The half-life of Pb-210 is 22 years. How old is the bone fragment?
Korolek [52]

To solve this question we will use two important formulas.

The first formula involves the calculation of the decay constant, k which is to be found as:

k=\frac{0.6931}{T_{\frac{1}{2}}}

where T_{\frac{1}{2}} is the half life of Pb-210 which is given to be 22 years in the question.

Thus, k=\frac{0.6931}{22}\approx0.0315

Now, we will use the second formula which is called the function of decay formula and is given as:

N = N_{0} e^{-kt}

where N percentage of Pb-210 remaining in the bone at present, which in our case is 67% or 0.67

N_{0} percentage of Pb-210 to start with, which is always 100% or 1.

Plugging in all these values in the decay formula we are supposed to find the time, t.

0.67=1\times e^{-0.0315t}

Taking natural log on both sides we get:

ln(0.67)=-0.0315t

\approx-0.4005=-0.0315t

\therefore t=\frac{0.4005}{0.0315}

t\approx12.71 years

Therefore the bone fragment is about 12.71 years old.

7 0
4 years ago
Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes
Dahasolnce [82]

Answer:

In the picture attached, the graph is shown.

Step-by-step explanation:

No options are provided, so I made the graph.

The equation V = 4 + 2t, is the equation of a line with slope = 2 and y-intercept = 4.

To make a graph, mark some points is helpful. The next points are included in the graph:

t     V  

0    4 + 2(0) = 4

1     4 + 2(1) = 6

2    4 + 2(2) = 8

3    4 + 2(3) = 10

4    4 + 2(4) = 12

5    4 + 2(5) = 14

6    4 + 2(6) = 16

6 0
3 years ago
Read 2 more answers
True or False. <br> A binomial is also a polynomial.
IgorLugansk [536]
True. A binomial is a polynomial that is the sum of two terms.
6 0
3 years ago
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