What is 3^{sqrt(5)+1}*3^{3-sqrt(5)} ?

The solution to 3^{sqrt(5)+1}*3^{3-sqrt(5)} is 81

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simplify 3^{sqrt(5)+1}*3^{3-sqrt(5)}

simplify

3^{5 + 1} \cdot 3^{3 - 5}

81

Solution steps

3^{5 + 1} \cdot 3^{3 - 5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

3^{5 + 1} \cdot 3^{3 - 5} = 3^{5 + 1 + 3 - 5}

= 3^{5 + 1 + 3 - 5}

5 + 1 + 3 - 5 = 4

= 3^{4}

3^{4} = 81

= 81

lo g_{35} (25)

\frac{x}{3} + \frac{2 x}{5}

\frac{90}{1000}

\frac{4 x ^{2} + 4 x}{2 x ^{2} - 2}

\frac{5}{4} \times 4

What is 3^{sqrt(5)+1}*3^{3-sqrt(5)} ?
The solution to 3^{sqrt(5)+1}*3^{3-sqrt(5)} is 81