Practice - Algebra 1

5.1.6 Practice

5.1.6 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

Simplify each expression using the appropriate property from the lesson.

$f^2 \cdot f^6$

$f^8$
$f^{12}$
$f^4$
$f^{36}$

$\frac{(-y)^6}{(-y)^3}$

$(-y)^{18}$
$(-y)^9$
$(-y)^2$
$(-y)^3$

$(-4)^0$

$-4$
$1$
$4$
$0$

$2^{-3}$

$-\frac18$
$\frac18$
$-6$
$8$

$\frac{1}{(-t)^{-5}}$

$(-t)^5$
$\frac{1}{t^5}$
$t^5$
$t^4$

$(-\frac{m}{n})^{-3}$

$-\frac{m^3}{n^3}$
$-\frac{n^3}{m^3}$
$\frac{m^3}{n^3}$
$\frac{n^3}{m^3}$

$(d^3)^5$

$d^{-2}$
$d^5$
$d^8$
$d^{15}$

$( 5x^{-2})^3$

$125x$
$\frac{125}{x^6}$
$5x$
$\frac{ 125}{x^5}$

$(\frac{7b^3c}{d^2})^2$

$\frac{49b^5c^2}{d^4}$
$\frac{49b^6c^2}{d^4}$
$\frac{7b^6c^2}{d^4}$
$\frac{d^4}{49b^6c^2}$

$(\frac{3z^{-2}}{w^2})^{-2}$

$\frac{z^4w^4}{9}$
$\frac{w^4}{9z^4}$
$\frac{9w^4}{z^4}$
$9z^4w^4$