What is (sqrt(2*4^{x+1)+4^x})/(2^{2x)} ?

The solution to (sqrt(2*4^{x+1)+4^x})/(2^{2x)} is (3sqrt(4^x))/(4^x)

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simplify (sqrt(2*4^{x+1)+4^x})/(2^{2x)}

simplify

\frac{2 \cdot 4 ^{x + 1} + 4 ^{x}}{2 ^{2 x}}

\frac{3 4 ^{x}}{4 ^{x}}

Solution steps

\frac{2 \cdot 4 ^{x + 1} + 4 ^{x}}{2 ^{2 x}}

2 \cdot 4^{x + 1} + 4^{x} = 3 4^{x}

= \frac{3 4 ^{x}}{2 ^{2 x}}

2^{2 x} = 4^{x}

= \frac{3 4 ^{x}}{4 ^{x}}

- \frac{3}{2} (- 2)

\frac{80}{6}

\frac{80}{9}

(2 + 3 x)^{4}

What is (sqrt(2*4^{x+1)+4^x})/(2^{2x)} ?
The solution to (sqrt(2*4^{x+1)+4^x})/(2^{2x)} is (3sqrt(4^x))/(4^x)