does anybody now how do divide exponents?
generally you do not divide exponents maybe you mean \[\large \frac{b^m}{b^n}=b^{m-n}\]
\[a^{m} * a^{n} = a^{m+n}\]
mult by reciprocal
yes but i dont understtand how to do it
\[\large \frac{7^8}{7^5}=7^{8-5}=7^3\] for example
what is the problem
\[\large \frac{x^6y^{10}}{x^3y^4}=x^{6-3}y^{10-4}=x^3y^6\]
and i dont understand that?
\[\large \frac{y^6}{y^9}=\frac{1}{y^{9-6}}=\frac{1}{y^3}\]
if you want positive exponents if you want negative exponents \[\large \frac{y^6}{y^9}=y^{6-9}=y^{-3}\]
same answer, since \[\large y^{-3}=\frac{1}{y^3}\]
\[\frac{ y^6 }{ y^9 }=\frac{ y^6 }{ y^6\cdot y^3 }=\frac{ \cancel {y^6 }}{ \cancel {y^6}}\cdot \frac{ 1 }{ y^3 }= \frac{ 1 }{ y^3 }=y^{-3} = y^{(6-9)}\]
btw, this isn't dividing exponents... it's dividing exponentials
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