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GarryVolchara [31]
3 years ago
10

PLEASEE HELPP....Simplify the expression using properties of exponents.​

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Using the rule of exponents

\frac{a^{n} }{a^{m} } = \frac{1}{a^{(m-n)} }

Given

\frac{25a^{-5}b^{-8}  }{5a^{4}b }

= \frac{25}{5} × \frac{a^{-5} }{a^{4} } × \frac{b^{-8} }{b^{1} }

= 5 × \frac{1}{a^{(4-(-5))} } × \frac{1}{b^{(1-(-8))} }

= 5 × \frac{1}{a^{9} } × \frac{1}{b^{9} }

= \frac{5}{a^{9}b^{9}  } → D

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What is the explicit rule for this geometric sequence? 4,45,425,4125,…
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You did not write the question correctly but I will try to answer the question according to 2 possible interpretations of your question.

Case 1:

Given the geometric sequence:

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Case 2:

Given the geometric sequence:

4,\ 4\cdot5,\ 4\cdot25,\ 4\cdot125,\ .\ .\ .

Common ratio is given by r= \frac{2nd\ term}{1st\ term} = \frac{4\cdot5}{4} = 5

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3 years ago
Read 2 more answers
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