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Lelechka [254]
3 years ago
15

What does (-54x^9/y^4) ^2/3 equal?

Mathematics
2 answers:
KengaRu [80]3 years ago
3 0
(-54x^9/y^4)^2/3
(-54x^9)^2/3/(y^4)^2/3
-36x^6/y^2.6
Rama09 [41]3 years ago
3 0
So, this question is about reducing and simplifying the given problem. First, let's write down the given again.

(-54x⁹/y⁴)²/³

The first step is to distribute the exponents to each term.

14.29x⁶/y^(8/3)

To do away with fractional exponents, this could be further simplified to:

<em>(14.29x⁶)/(∛y⁸)</em>
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The function g(x) describes a straight line with the equation:
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To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

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8 0
4 years ago
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SashulF [63]
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7 0
4 years ago
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