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3 years ago

Use Quotient rule and simplify

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

Answer:

1) 4 s^(-3) t^(-4) / (8 s^6 t^8) = s^(-9) t^(-12) / 2

2) 7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^14 / 2

Step-by-step explanation:

1) 4 s^(-3) t^(-4) / (8 s^6 t^8)

Dividind the numerator and denominator by 4:

[4 s^(-3) t^(-4)]/4 / (8 s^6 t^8)/4 = s^(-3) t^(-4) / (2 s^6 t^8)

Using quotient rule: a^m/a^n=a^(m-n):

s^(-3) t^(-4) / (2 s^6 t^8) = s^(-3-6) t^(-4-8) / 2 = s^(-9) t^(-12) / 2

2) 7 a^(-3) b^9 / [2 a^2 b^(-5)]

Using quotient rule: a^m/a^n=a^(m-n):

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-3-2) b^(9-(-5)) / 2

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^(9+5) / 2

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^14 / 2

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Answer:

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Step-by-step explanation:

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Answer:

$\boxed{3.1 \, \%}$

Step-by-step explanation:

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