CPM Homework Help : A2C Problem 4-95

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4-95.

Rewrite each of the following expressions so that your answers have no negative or fractional exponents.

$5^{-2}·4^{1/2}$
Step 1 (a):
$\frac{1}{5^{2}} \cdot \sqrt{4}$
Step 2 (a):
$\frac{1}{25}·2$
Answer (a):
$\frac{2}{25}$

$\large \frac { 3 x y ^ { 2 } z ^ { - 2 } } { ( x y ) ^ { - 1 } z ^ { 2 } }$
Step (b):
$\large \frac{3xy^2({xy})^1}{{z}^2{z}^2}$

$(3m^2)^3(2mn)^{-1}(8n^3)^{2/3}$
Hint (c):
See part (a).
Step (c):
$(3m^2)(3m^2)(3m^2)·\frac{1}{(2mn)^1}\left( \sqrt[3]{8n^3} \right) ^2$

$(5x^2y^3z)^{1/3}$
Hint (d):
See part (a).
Step (d):
$\sqrt[3]{5\textit{x}^2\textit{y}^3\textit{z}}$
Answer (d):
$y\sqrt[3]{5x^2z}$

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