What is sqrt((2^{1002)+2^{1006})/(17(2)^{998)}} ?

The solution to sqrt((2^{1002)+2^{1006})/(17(2)^{998)}} is 4

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simplify sqrt((2^{1002)+2^{1006})/(17(2)^{998)}}

simplify

\frac{2 ^{1002} + 2 ^{1006}}{17 ( 2 ) ^{998}}

4

Solution steps

\frac{2 ^{1002} + 2 ^{1006}}{17 \cdot 2 ^{998}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{2 ^{1002} + 2 ^{1006}}{17 \cdot 2 ^{998}}

2^{1002} + 2^{1006} = 2^{501} 17

= \frac{2 ^{501} 17}{17 \cdot 2 ^{998}}

17 \cdot 2^{998} = 2^{499} 17

= \frac{2 ^{501} 17}{2 ^{499} 17}

Cancel

\frac{2 ^{501} 17}{2 ^{499} 17} : 4

= 4

(\frac{1}{2} x^{3}) (- \frac{2}{3} a^{2} x) (- \frac{3}{5} a^{4} m)

tan (x) \cdot cot (x)

2 sin (3 x) cos (3 x)

\frac{4 m n ^{2} + p n ^{2}}{32 km + 8 k p}

What is sqrt((2^{1002)+2^{1006})/(17(2)^{998)}} ?
The solution to sqrt((2^{1002)+2^{1006})/(17(2)^{998)}} is 4