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liq [111]
3 years ago
7

Can someone help me with this two questions pls!!! I don't know how I can solve pls!

Mathematics
2 answers:
aivan3 [116]3 years ago
4 0
20)

\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\\\
\textit{also recall that }a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}
\\\\
-------------------------------

\bf \cfrac{(-54)^2}{\sqrt[3]{(-54)^5}}\implies \cfrac{(-54)^2}{(-54)^{\frac{5}{3}}}\implies (-54)^2(-54)^{-\frac{5}{3}}\implies (-54)^{2-\frac{5}{3}}
\\\\\\
(-54)^{\frac{6-5}{3}}\implies (-54)^{\frac{1}{3}}\implies \sqrt[3]{(-54)^1}\implies \sqrt[3]{(-54)}
\\\\\\
\begin{cases}
54=2\cdot 3\cdot 3\cdot 3\\
\qquad 2\cdot 3^3
\end{cases}\implies \sqrt[3]{-1\cdot 2\cdot 3^3 }\implies 3\sqrt[3]{-2}



22)

\bf -5\sqrt[3]{2x+3}=15\impliedby \textit{we first raise both sides by }^3
\\\\\\
(-5\sqrt[3]{2x+3})^3=(15)^3\implies (-5)^3(\sqrt[3]{2x+3})^3=3375
\\\\\\
(-125)(2x+3)=3375\implies 2x+3=\cfrac{3375}{-125}\implies 2x+3=-27
\\\\\\
2x=-30\implies x=-\cfrac{30}{2}\implies x=-15
grandymaker [24]3 years ago
4 0
The first one is,

- 3 \sqrt[3]{2}
The second one is,

x = 12
~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
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