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# Divide $\frac{2\cdot \left(\frac{4}{5}\right)}{\frac{\left(\frac{1}{20}\right)^2}{\left(\frac{49}{25}\right)^2}+\frac{\frac{4}{5}\cdot \frac{1}{5}}{266}}$

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##  Final answer to the problem

$\frac{2128}{5\cdot \left(\frac{4}{25}+\frac{475}{2744}\right)}$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Prime Factor Decomposition
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
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1

Multiply the fraction and term in $2\cdot \left(\frac{4}{5}\right)$

$\frac{\frac{8}{5}}{\frac{\left(\frac{1}{20}\right)^2}{\left(\frac{49}{25}\right)^2}+\frac{\frac{4}{5}\cdot \frac{1}{5}}{266}}$

Learn how to solve problems step by step online.

$\frac{\frac{8}{5}}{\frac{\left(\frac{1}{20}\right)^2}{\left(\frac{49}{25}\right)^2}+\frac{\frac{4}{5}\cdot \frac{1}{5}}{266}}$

Learn how to solve problems step by step online. Divide (24/5)/(((1/20)^2)/((49/25)^2)+(4/51/5)/266). Multiply the fraction and term in 2\cdot \left(\frac{4}{5}\right). Multiplying fractions \frac{4}{5} \times \frac{1}{5}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Combine \frac{\left(\frac{1}{20}\right)^2}{\frac{2401}{625}}+\frac{\frac{4}{25}}{266} in a single fraction.

##  Final answer to the problem

$\frac{2128}{5\cdot \left(\frac{4}{25}+\frac{475}{2744}\right)}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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0
a
b
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x
y
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(◻)
+
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◻/◻
/
÷
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e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch