SOLUTION: Simplify eliminating the negative exponents,if any: (2x^2)(z^4)^3/2�(4^5/2)(x^-7)z

Question 1009819: Simplify eliminating the negative exponents,if any:
(2x^2)(z^4)^3/2�(4^5/2)(x^-7)z
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
see my worksheet shown below:

the steps are described here.

1.
original expression is shown.
2.
original ezpression is equivalent to what is shown here.
3.
the first term of 1/4^(5/2) is evaluated here to be equivalent to 1/32.
4.
the second term of 2x^2/x^(-7) is evaluated here to be equivalent to 2x^9
5.
the numerator of the third term of (z^4)^(3/2) is evaluated her to be equivalent to z^6.
6.
the third term of z^6 is divided by z and evaluated here to be equivalent to z^5.
7.
step 2 is evaluated here after having each of its terms replaced by their equivalents in steps 3,4,5,6.

your final solution is x^9 * z^5 / 16

this solution was confirmed by replace x with 3 and z with 3 and then evaluating both the original expression and the final expression.

since they both returned the same value, the solution is assumed to be good.

$$$

some concepts involved:

x^a / x^b = x^(a-b)

x^a * x^b = x^(a+b)

x^(a/b) = x^a * x^(1/b)

(x^a)^b = x^(a*b)

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