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irga5000 [103]
3 years ago
14

In the following figure, line DG is tangent to point A at F; line EC and line EH are tangent segments. If CE = 18, find HE.

Mathematics
1 answer:
gogolik [260]3 years ago
8 0
<span>lengths of tangents drawn from an external point are equal  </span>⇒ 
HE = CE = 18 units.
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Simplify (8^4/10^4)^-1/4using rational exponents
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Answer:

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Step-by-step explanation:

<u><em>Explanation</em></u>

Given  

       (\frac{8^4}{10^4} )^{-\frac{1}{4} }

By using algebra formulas

  (\frac{a}{b} )^{m} = \frac{a^m}{b^n}

(\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} }  }{(10^{4} )^{\frac{-1}{4} } }

(a^{m} )^{n} = a^{mn}

\frac{(8^{4})^{\frac{-1}{4} }  }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }

          = \frac{8^{-1} }{10^{-1} }

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<u><em>Final answer:-</em></u>

 (\frac{8^4}{10^4} )^{-\frac{1}{4} }  = \frac{5}{4}

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