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gulaghasi [49]
3 years ago
7

Simplify (-6^1/3)^(-2)=

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

For this case we must simplify the following expression:

((-6 ^ {\frac {1} {3}}) ^ {- 2}

So, by definition of power properties we have:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Then, rewriting the expression:

\frac {1} {(- 6 ^ {\frac {1} {3}}) ^ 2} =\\\frac {1} {(- 6 ^ {\frac {1} {3}}) * (- 6 ^ {\frac {1} {3}})} =\\\frac {1} {(6 ^ {\frac {1} {3}}) * (6 ^ {\frac {1} {3}})} =\\\frac {1} {6 ^ {\frac {2} {3}}}

ANswer:

\frac {1} {6 ^ {\frac {2} {3}}}

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Answer:

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Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

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<em />

According to the Pythagorean Theorem:

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Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

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x^2+(10-x)^2=64

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