Question

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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Answer 1

1/2

Explanation:

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

`16 ^(1/2) * 2^(-3)`

Simplifying:

=>
`4 * (1)/(2^3)`

`4 * (1)/(8) = (1)/(2)`

The answer is 1/2.