Sunday, 13 July 2014

algebra precalculus - Simplifying an expression with algebraic indices



I don't know why but I just can't simplify this expression and its driving me mad!! Could someone please help me with the steps?



$\frac {2^n 9^{2n+1}}{6^{n-2}}$




I know the answer is 4 x $3^{3n + 4}$ I just can't get there.



Thanks in advance :)


Answer



Notice that:



$$6^{n-2}=2^{n-2}3^{n-2}$$



and




$$9^{2n+1}=3^{4n+2}$$



Then use exponent rules.


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