Home > INT3 > Chapter 2 > Lesson 2.2.3 > Problem2-84

2-84.

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

1. $5^{-2}·4^{1/2}$

$\frac{1}{5^{2}} \cdot \sqrt{4}$

$\frac{1}{25}·2$

$\frac{2}{25}$

1. $\large \frac { 3 x y ^ { 2 } z ^ { - 2 } } { ( x y ) ^ { - 1 } z ^ { 2 } }$

$\large \frac{3xy^2({xy})^1}{{z}^2{z}^2}$

1. $(3m^2)^3(2mn)^{-1}(8n^3)^{2/3}$

See part (a).

$(3m^2)(3m^2)(3m^2)·\frac{1}{(2mn)^1}\left( \sqrt[3]{8n^3} \right) ^2$

1. $(5x^2y^3z)^{1/3}$

See part (a).

$\sqrt[3]{5\textit{x}^2\textit{y}^3\textit{z}}$

$y\sqrt[3]{5x^2z}$