Which number is equivalent to $\frac{3^{4}}{3^{2}}$ $3^4/3^2$ ??

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Answer 1 · 2016-12-13T01:06:53

$\frac{3^{4}}{2^{2}} = 9$ $3^4/2^2=9$

Using the property that $\frac{a^{m}}{a^{n}} = a^{m - n}$ $a^m/a^n = a^(m-n)$ , we have

$\frac{3^{4}}{2^{2}} = 3^{4 - 2} = 3^{2} = 9$ $3^4/2^2 = 3^(4-2) = 3^2 = 9$

Note that if we evaluated the numerator and denominator first, we would arrive at the same result:

$\frac{3^{4}}{3^{2}} = \frac{81}{9} = 9$ $3^4/3^2 = 81/9 = 9$

Which number is equivalent to 34323^4/3^2??