Question

I really need help with this!

Answer 1

n equals -5/6 equals -0.833

Answer 2

`\bf (6n-5)^{(1)/(2)}+3=-2\\\\ -----------------------------\\\\ a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^( n)} \qquad \qquad \sqrt[{ m}]{a^( n)}\implies a^{\frac{{ n}}{{ m}}}\\\\ -----------------------------\\\\ thus \\\\\\ (6n-5)^{(1)/(2)}+3=-2\implies √(6n-5)+3=-2\implies √(6n-5)=-2-3 \\\\\\ \textit{now squaring both sides} \\\\\\ (√(6n-5))^2=(-5)^2\implies 6n-5=25\implies 6n=25+5 \\\\\\ n=\cfrac{25+5}{6}`

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`\bf √(y)-7=0\implies √(y)=7\impliedby \textit{squaring both sides} \\\\\\ (√(y))^2=7^2\implies y=7^2`