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nadezda [96]
4 years ago
14

Write 5^8 as a quotient of two exponential terms with the same base, using only positive exponents.

Mathematics
1 answer:
CaHeK987 [17]4 years ago
5 0
5^10 / 5^2

whenever you have exponents with the same base divided by each other, you can subtract the bottom exponent from the top exponent to get the final exponent. That means there are an infinite number of solutions to this problem.
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Sv is an angle bisector of rst. If mrsv = (3x+5) and mrst = (8x-14), find x.
MA_775_DIABLO [31]

m∠RSV = 3x + 5, m∠RST = 8x - 14       <em>given</em>

m∠RSV ≅ m∠VST                                 <em>definition of segment bisector</em>

m∠RSV + m∠VST = m∠RST                 <em>angle addition postulate</em>

(3x + 5) + (3x + 5) = (8x - 14)                  <em>substitution</em>    

6x + 10 = 8x - 14                                    <em>simplify (added like terms)</em>

       10 = 2x - 14                                    <em>subtraction property of equality</em>

      24 = 2x                                           <em>addition property of equality</em>

      12 = x                                              <em>division property of equality</em>

Answer: x = 12

5 0
4 years ago
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