Question #d5343

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Answer 1 · 2017-07-04T11:35:53

#x=4#

I will assume that you want to solve the following equality for #x#:

#x^(5/2)=32#

Using our index laws we can rewrite the left hand side as:

#x^(5/2)=(x^(1/2))^5#

and the right hand side as:

#32=2^5#

Now we can write both sides of the equality with the same exponent:

#(x^(1/2))^5=(2)^5#

The terms in the brackets must be equal to each other, so:

#x^(1/2)=2#

Square both sides:

#(x^(1/2))^2=2^2#

#rArrx=4#