What is ((2+sqrt(3))^x)/((2-sqrt(3))^x) ?

The solution to ((2+sqrt(3))^x)/((2-sqrt(3))^x) is (7+4sqrt(3))^x

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simplify ((2+sqrt(3))^x)/((2-sqrt(3))^x)

simplify

\frac{( 2 + 3 ) ^{x}}{( 2 - 3 ) ^{x}}

(7 + 43)^{x}

Solution steps

\frac{( 2 + 3 ) ^{x}}{( 2 - 3 ) ^{x}}

Apply exponent rule:

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

\frac{( 2 + 3 ) ^{x}}{( 2 - 3 ) ^{x}} = (\frac{2 + 3}{2 - 3})^{x}

= (\frac{2 + 3}{2 - 3})^{x}

\frac{2 + 3}{2 - 3} = 7 + 43

= (7 + 43)^{x}

7.5 \cdot 1 0^{- 10}

z^{2 n}

6 e^{3 x} \cdot 18 e^{3 x}

What is ((2+sqrt(3))^x)/((2-sqrt(3))^x) ?
The solution to ((2+sqrt(3))^x)/((2-sqrt(3))^x) is (7+4sqrt(3))^x