Evaluate the following ?

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1 Answer
Oct 27, 2016

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

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

Explanation:

#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#