2 years ago

What is 2/3(1+n)=-1/2n

Mathematics

1 answer:

professor190 [17]2 years ago

4 0

Answer:

-4/7

Step-by-step explanation:

2/3(1+n)=-1/2n

2/3+2/3n=-1/2n

2/3=-1/2n-2/3n

2/3=-3/6n-4/6n

2/3=-7/6n

n=(2/3)/(-7/6)

n=(2/3)(-6/7)

n=-12/21

simplify

n=-4/7

You might be interested in

Which expression is equivalent to (125^2/125^4/3)

mariarad [96]

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{125^2}{125^{\frac{4}{3}}}\implies \cfrac{(5^3)^2}{(5^3)^{\frac{4}{3}}}\implies \cfrac{5^{3\cdot 2}}{5^{3\cdot \frac{4}{3}}}\implies \cfrac{5^6}{5^4}\\\\\\ 5^6\cdot 5^{-4}\implies 5^{6-4}\implies 5^2\implies 25$