7th
-
9th
grade

Mathematics

57%

accuracy

1.6K

plays

Bliss Strauss

5 years

Mathematics

7th -

9thgrade

Exponent Rules (with rational exponents)

Bliss Strauss

1.6K
plays

12 questions

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1. Multiple Choice
2 minutes
1 pt
$yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$
$x^{\frac{4}{3}}y^{\frac{5}{2}}$
$x^{\frac{2}{3}}y^{\frac{1}{2}}$
$x^{\frac{1}{3}}y^{\frac{3}{2}}$
$x^{\frac{2}{3}}y^{\frac{4}{3}}$
2. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $4v^{\frac{2}{3}}\cdot v^{-1}$

$4v^{\frac{1}{3}}$
$\frac{4}{v^{\frac{1}{3}}}$
$\frac{v^{\frac{1}{3}}}{4}$
$\frac{1}{4v^{\frac{1}{3}}}$
3. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1}$
$\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$
$a^{\frac{1}{2}}b^{\frac{1}{2}}$
$-\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$
$-a^{\frac{1}{2}}b^{\frac{1}{2}}$
4. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\left(x^{\frac{5}{3}}y^{-2}\right)^0$
$1$
$\frac{x^{\frac{5}{3}}}{y^2}$
$x^{\frac{5}{3}}y^2$
$\frac{y^2}{x^{\frac{5}{3}}}$
5. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\frac{a^2b^0}{3a^4}$
$1$
$\frac{1}{3a^2}$
$\frac{a^2}{3a^4}$
$\frac{1}{3a^4}$
6. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\frac{2x^{\frac{1}{2}}y^{\frac{1}{3}}}{2x^{\frac{4}{3}}y^{-\frac{7}{4}}}$
$\frac{y^{\frac{25}{12}}}{x^{\frac{5}{6}}}$
$\frac{x^{\frac{5}{6}}}{y^{\frac{25}{12}}}$
$\frac{2y^{\frac{25}{12}}}{x^{\frac{5}{6}}}$
$\frac{y^{\frac{17}{12}}}{x^{\frac{5}{6}}}$
7. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\left(x^0y^{\frac{1}{3}}\right)^{\frac{3}{2}}x^0$
$y^{\frac{1}{2}}$
$1$
$y^{\frac{4}{3}}$
$0$
8. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\frac{a^{\frac{3}{4}}b^{-1}\cdot b^{\frac{7}{4}}}{3b^{-1}}$
$\frac{a^{\frac{3}{4}}b^{\frac{7}{4}}}{3}$
$\frac{a^{\frac{3}{4}}b^{\frac{3}{4}}}{3}$
$a^{\frac{3}{4}}b^{\frac{7}{4}}$
$3a^{\frac{3}{4}}b^{\frac{7}{4}}$
9. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $u^{-\frac{5}{4}}v^2•\left(u^{\frac{3}{2}}\right)^{-\frac{3}{2}}$
$\frac{v^2}{u^{\frac{7}{2}}}$
$\frac{v^2}{u^{\frac{5}{2}}}$
$\frac{v^2}{u^{\frac{5}{4}}}$
$v^2$
10. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\frac{3y^{-\frac{5}{4}}}{y^{-1}•2y^{-\frac{1}{3}}}$
$\frac{3y^{\frac{1}{12}}}{2}$
$\frac{3y^{\frac{19}{12}}}{2}$
$\frac{3}{2y^{\frac{1}{12}}}$
$\frac{3}{2y^{\frac{19}{12}}}$
11. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\frac{\left(m^2n^{\frac{1}{2}}\right)^0}{n^{\frac{3}{4}}}$
$1$
$n^{\frac{3}{4}}$
$\frac{1}{n^{\frac{3}{4}}}$
$\frac{1}{n^{\frac{4}{3}}}$
12. Multiple Choice
2 minutes
1 pt
Simplify . Your answer should contain only positive exponents. $\left(6b\right)^{\frac{-4}{3}}$
$\frac{1}{6^{\frac{4}{3}}b^{\frac{4}{3}}}$
$\frac{6}{b^{\frac{4}{3}}}$
$\frac{b^{\frac{4}{3}}}{6}$
$\frac{6^{\frac{4}{3}}}{b^{\frac{4}{3}}}$
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Exponent Rules (with rational exponents)

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