What is (5^{sqrt(3)+2})/(5^{sqrt(3)-2)} ?

The solution to (5^{sqrt(3)+2})/(5^{sqrt(3)-2)} is 625

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simplify (5^{sqrt(3)+2})/(5^{sqrt(3)-2)}

simplify

\frac{5 ^{3 + 2}}{5 ^{3 - 2}}

625

Solution steps

\frac{5 ^{3 + 2}}{5 ^{3 - 2}}

Apply exponent rule:

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

= 5^{3 + 2 - 3 - (- 2)}

5^{3 + 2 - 3 - (- 2)} = 625

= 625

\frac{45 s ^{12} r ^{15}}{5 s ^{4} r ^{6}}

7 (2 h - 7)

(5 x - 3) (2 x - 4)

2 (i^{2}) (i^{3})

\frac{7 - i}{2 + 3 i}

What is (5^{sqrt(3)+2})/(5^{sqrt(3)-2)} ?
The solution to (5^{sqrt(3)+2})/(5^{sqrt(3)-2)} is 625