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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Respuesta :

Answer:

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:

[tex]16 ^{1/2} * 2^{-3}[/tex]

Simplifying:

=> [tex]4 * \frac{1}{2^3}[/tex]

[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]

The answer is 1/2.