would 7√x*7√x*7√x*7√x be x^4/7 ?
yud
*yes
thanks
\(\bf 7\sqrt{x}\cdot 7\sqrt{x}\cdot 7\sqrt{x}\cdot 7\sqrt{x}?\)
yes
\(\bf 7\sqrt{x}\cdot 7\sqrt{x}\cdot 7\sqrt{x}\cdot 7\sqrt{x} \\ \quad \\ (7\cdot 7\cdot 7\cdot 7)\cdot (\sqrt{x}\cdot \sqrt{x}\cdot \sqrt{x}\cdot \sqrt{x}) \implies ?\)
\[x^{4/7}\]
hmmm not quite.. is just a straight multiplication pretty much so, you'd multiply the coefficients by the coefficients and the radicands by the radicands so \(\bf 7\sqrt{x}\cdot 7\sqrt{x}\cdot 7\sqrt{x}\cdot 7\sqrt{x} \\ \quad \\ (7\cdot 7\cdot 7\cdot 7)\cdot (\sqrt{x}\cdot \sqrt{x}\cdot \sqrt{x}\cdot \sqrt{x})\implies (7^4)(\sqrt{x^4})\implies ?\)
unless, you meant originally \(\Large \sqrt[7]{x}\cdot \sqrt[7]{x}\cdot \sqrt[7]{x}\cdot \sqrt[7]{x}\)
yeah
thats what I meant
well, hmmm tis, is not the same thing as before :/
sorry
\(\Large { a^{\frac{{\color{blue} n}}{{\color{red} m}}} \implies \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad \sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}\qquad thus \\ \quad \\ \quad \\ \sqrt[7]{x}\cdot \sqrt[7]{x}\cdot \sqrt[7]{x}\cdot \sqrt[7]{x}\implies \sqrt[{\color{red}{ 7}}]{x^{\color{blue}{ 4}}}\implies x^{\frac{{\color{blue}{ 4}}}{{\color{red}{ 7}}}} }\)
thank you so much
yw
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