What is 0.5x^{10}sqrt(3)x^{20}xsin(pi/6) ?

The solution to 0.5x^{10}sqrt(3)x^{20}xsin(pi/6) is 0.43301…x^{31}

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simplify 0.5x^{10}sqrt(3)x^{20}xsin(pi/6)

simplify

0.5 x^{10} 3 x^{20} x sin (\frac{π}{6})

0.43301 \dots x^{31}

Solution steps

0.5 x^{10} 3 x^{20} x sin (\frac{π}{6})

Apply exponent rule:

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

x^{10} x^{20} x = x^{10 + 20 + 1}

= 0.5 3 x^{10 + 20 + 1} sin (\frac{π}{6})

Add the numbers:

10 + 20 + 1 = 31

= 0.5 3 x^{31} sin (\frac{π}{6})

Simplify

sin (\frac{π}{6}) : \frac{1}{2}

= 3 \cdot 0.5 \cdot \frac{1}{2} x^{31}

Simplify

= 0.43301 \dots x^{31}

(x + 3)^{2} (x - 7)^{2}

π \cdot a 3 \cdot 23

f (x) = - 2 x

- 32 \cdot (2)^{3}

What is 0.5x^{10}sqrt(3)x^{20}xsin(pi/6) ?
The solution to 0.5x^{10}sqrt(3)x^{20}xsin(pi/6) is 0.43301…x^{31}