Evaluate the following ?

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Answer 1 · 2016-10-27T05:54:35

$256^(5/2) = sqrt(256)^5$

= $16^5 = 1,048,576$

$256^(4-3/2)$

Evaluate means find the value of the expression - you need a number answer.

In the exponent there is $4-3/2$
This is the same as $4-1 1/2$ which is $2 1/2$

$2 1/2 = 5/2$

So we have: $256^(5/2)$

Recall the law: $x^(p/q) = (rootq x)^p$

The denominator in the index shows a root and the numerator shows a power.

$256^(5/2) = sqrt(256)^5$

= $16^5$

= $1,048,576$