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Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

End-of-Course Assessment

Exercise 32 Page 967

To simplify the given expression, use the Properties of Rational Exponents.

D

Practice makes perfect

To simplify the given expression, we will use the Properties of Rational Exponents. For this exercise, we will rewrite the expression as one power by subtracting the exponents. Let's do it!

\frac{r ^{\frac{1}{2}}}{r ^{- \frac{1}{4}}}

$\frac{a ^{m}}{a ^{n}} = a^{m - n}$

r^{\frac{1}{2} - (- \frac{1}{4})}

$a - (- b) = a + b$

r^{\frac{1}{2} + \frac{1}{4}}

$\frac{a}{b} = \frac{a \cdot 2}{b \cdot 2}$

r^{\frac{2}{4} + \frac{1}{4}}

Add fractions

r^{\frac{3}{4}}

This corresponds to option D.

Subchapter links

Exercises p.964-971