What is (5^{5log_{5}(3)})/(5^{2log_{5)(3)}} ?

The solution to (5^{5log_{5}(3)})/(5^{2log_{5)(3)}} is 27

Popular >

simplify (5^{5log_{5}(3)})/(5^{2log_{5)(3)}}

simplify

\frac{5 ^{5 l o g_{5} (3)}}{5 ^{2 l o g_{5} (3)}}

27

Solution steps

\frac{5 ^{5 l o g_{5} (3)}}{5 ^{2 l o g_{5} (3)}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 5^{5 l o g_{5} (3) - 2 l o g_{5} (3)}

Add similar elements:

5 lo g_{5} (3) - 2 lo g_{5} (3) = 3 lo g_{5} (3)

= 5^{3 l o g_{5} (3)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (5^{l o g_{5} (3)})^{3}

Apply log rule:

a^{l o g_{a} (b)} = b

5^{l o g_{5} (3)} = 3

= 3^{3}

3^{3} = 27

= 27

\frac{2}{x + 4} + \frac{1}{x - 3}

\frac{cos ( x )}{sec ( x )} + \frac{sin ( x )}{csc ( x )}

(2 - 7)^{2}

(b^{2} + 4 b + 4) (- b + 3)

\frac{16 y ^{2}}{8 y ^{2}}

What is (5^{5log_{5}(3)})/(5^{2log_{5)(3)}} ?
The solution to (5^{5log_{5}(3)})/(5^{2log_{5)(3)}} is 27