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2 years ago

Which expression is equivalent to (4p^-4 q)^-2/ 10pq^-3?

Mathematics

2 answers:

Anit [1.1K]2 years ago

4 0

Answer:

$\dfrac{p^{7} q}{160}$

Step-by-step explanation:

$\dfrac{(4p^-4 q)^-2}{10pq^-3} =$

$= \dfrac{4^{-2}p^{-4\times (-2)} q^{-2}}{10pq^-3}$

$= \dfrac{4^{-2}}{10}p^{8-1} q^{-2-(-3)}$

$= \dfrac{1}{4^2 \times 10}p^{7} q^{-2 + 3}$

$= \dfrac{1}{160}p^{7} q$

$= \dfrac{p^{7} q}{160}$

iogann1982 [59]2 years ago

3 0

Answer:

C on e2020/edge

Step-by-step explanation:

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In ¾ pound of a banana bread, there is ½ cup of cinnamon. How much cinnamon does the bread contain per pound?

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1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

<h3>Solution:</h3>

Given that , In $\frac{3}{4}$ pound of a banana bread, there is $\frac{1}{2}$ cup of cinnamon

To find:

Amount of cinnamon per pound in bread

Let "n" be the cinnamon per pound present in bread

$\frac{3}{4}$ pound of banana bread ⇒ $\frac{1}{2}$ cup of cinnamon

Then, 1 pound of bread ⇒ n cups of cinnamon

Now, let us use criss cross method (i.e. multiplying the diagonal ordered terms and equating them)

$\begin{array}{l}{\rightarrow n \times \frac{3}{4}=\frac{1}{2} \times 1} \\\\ {\rightarrow n \times \frac{3}{4}=\frac{1}{2}} \\\\ {\rightarrow n=\frac{1}{2} \times \frac{4}{3}} \\\\ {\rightarrow n=\frac{2}{3}}\end{array}$

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