Evaluate 16 to the power of 1/2 x 2 to the power of -3

Give your answer as a fraction in its simplest form.

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1/2

Step-by-step explanation:

We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:

Simplifying:

=>

The answer is 1/2.

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step-by-step explanation:

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2