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2 years ago

Im confused can someone please explain how to do this

Mathematics

1 answer:

ozzi2 years ago

4 0

First rewrite the mixed number as an improper fraction:

-1 1/14 = -15/14

Now you have :

-3/7 / -15/14

When dividing by a fraction, flip the second fraction over and change divide to multiply:

-3/7 x -14/15

Now multiply top by top and bottom by bottom:

(-3 x -14) / ( 7 x 15) = 42/105

Simplify by diving each number by 21 to get the final answer :

2/5

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Answer:

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2 years ago

Read 2 more answers

Show me how you solve it

julia-pushkina [17]

Answer:

5^20

Step-by-step explanation:

Law of Exponent I

$\displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

Therefore:

$\displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{8 - 3})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{5})^{4} }$

Law of Exponent II

$\displaystyle \large{( {a}^{m} ) ^{n} = {a}^{m \times n} }$

Thus:

$\displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{8 - 3})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{5})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = {5}^{5 \times 4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = {5}^{20} }$

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