Option 4: ![\sqrt[7]{125x^9y^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B125x%5E9y%5E%7B12%7D%7D)
is the right answer
Step-by-step explanation:
Given expression is:
In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number
so,
in case of 3/7, it will be broken down
The 1/7 will be converted into base of radical while 3 will be he exponent
![\sqrt[7]{(5x^3y^4)^3}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B%285x%5E3y%5E4%29%5E3%7D)
Multiplying exponents
![=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B7%5D%7B5%5E3x%5E%7B3%2A3%7Dy%5E%7B4%2A3%7D%7D%5C%5C%3D%5Csqrt%5B7%5D%7B125x%5E9y%5E%7B12%7D%7D)
Hence,
Option 4: is the right answer
Keywords: Radicals, Exponents
Learn more about exponents at:
#LearnwithBrainly
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Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
They are both correct in their computation
(28.5-28.5(.3))+.1(28.5-28.5(.3))=$21.945
28.5(.7)(1.1)=$21.945
And since they each have $22 to spend, they have enough to purchase the book.
The second
6+(7×2)-10 = 10
20-(5×3)+12 = 17
