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statuscvo [17]
3 years ago
8

The temperature in the morning was−8 °F. The temperature dropped 13 degrees by night. What is the temperature at night?

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0

Answer:

-21 degrees

Step-by-step explanation:

-8+(-13)=-21

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Option D:

\frac{25 a^{9} b^{10} }{6 } is equivalent to the given expression.

Solution:

Given expression:

$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}

To find which expression is equivalent to the given expression.

$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}

Using exponent rule: (ab)^m=a^mb^m

    $=\frac{5^3 a^3 b^{3}}{30 a^{-6} b^{-7}}

Using exponent rule: \frac{1}{a^{m}}=a^{-m}, \quad \frac{1}{a^{-m}}=a^{m}

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Using exponent rule: a^{m} \cdot a^{n}=a^{m+n}

     $=\frac{125 a^{3+6} b^{3+7} }{30 }

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Divide both numerator and denominator by the common factor 5.

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$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}=\frac{25 a^{9} b^{10} }{6 }

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Hence Option D is the correct answer.

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Hope this helped.

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Answer:

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Step-by-step explanation:

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