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lianna [129]
3 years ago
6

i'm doing operations with complex numbers and i understand everything until there's a number in front of the parentheses so plea

se help :(
Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0
It a number is in front of a parentheses that just means you have to multiply everything inside the parentheses by the number in front
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This is really confusing me:<br> Simplify so that your answers contain only positive exponents.
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Answer:

  see below

Step-by-step explanation:

For simplifying expressions of this sort, there are four rules of exponents that come into play;

  a^ba^c=a^{b+c}\\\\(ab)^c=a^cb^c\\\\(a^b)^c=a^{bc}\\\\\dfrac{1}{a^b}=a^{-b}\ \quad\text{which means}\quad a^b=\dfrac{1}{a^{-b}}

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I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.

23. \quad\dfrac{1}{x^{-2}}=x^2\\\\24. \quad\dfrac{mn}{m^2n^3}=m^{1-2}n^{1-3}=m^{-1}n^{-2}=\dfrac{1}{mn^2}\\\\25. \quad\dfrac{k^{-2}}{k^{-3}}=k^{-2-(-3)}=k\\\\26. \quad\left(\dfrac{m^2}{n^3}\right)^3=\dfrac{m^{2\cdot 3}}{n^{3\cdot 3}}=\dfrac{m^6}{n^9}\\\\27. \quad\dfrac{x^2y^3z^4}{x^{-3}y^{-4}z^{-5}}=x^{2-(-3)}y^{3-(-4)}z^{4-(-5)}=x^5y^7z^9

3 0
3 years ago
Please help! Due very soon!
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Step-by-step explanation:

The answer to each blank, in order from top to bottom

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