Which expression is equivalent to ((125^(2))/(125^((4)/(3))))

Mathematics

2 answers:

Anarel [89]3 years ago

3 0

The answer is D, 25.

algol133 years ago

3 0

Answer:

Step-by-step explanation:

$\text{The given expression is }\left ( \frac{125^2}{(125)^{\frac{4}{3}}} \right )\\\\\text{We can write the 125 as }125^3\\\\\text{Thus, the expression becomes}\\\\\left ( \frac{125^2}{(5^3)^{\frac{4}{3}}} \right )\\\\\text{The denominator can be written as }\\\\\left ( \frac{125^2}{(5)^{3\cdot\frac{4}{3}}} \right )\\\\=\left ( \frac{5^6}{(5)^{4}} \right )\\\\\text{Using the exponent law }\frac{x^a}{x^b}=x^{a-b}\\\\(5^{6-4}\\\\=5^2\\\\=25$

Thus, last option is correct.

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New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles sou

qwelly [4]

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

$\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}$

$=\frac{ 2\pi }{9}$

Now calculating the distance:

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Goshia [24]

Answer:

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Step-by-step explanation:

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To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using $\pi d$ or $2\pi r$ .