Indices review 9th - 12th Grade Quiz

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5 questions

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1.

MULTIPLE CHOICE

30 sec • 1 pt

$\left(5a^2b^3\right)^2$ is equivalent to:

$25a^5b^6$

$25a^4b^6$

$25a^7b^5$

$25a^3b^4$

2.

MULTIPLE CHOICE

30 sec • 1 pt

Simplify $\frac{3x^4y^6}{\left(3x^3y\right)^2}$

$xy^5$

$\frac{y^4}{3x^2}$

$xy^4$

$\frac{y^4}{x^2}$

3.

MULTIPLE CHOICE

30 sec • 1 pt

Which of the following is equal to $\frac{1}{x\sqrt{x}}$ ?

$x^{\frac{3}{2}}$

$x^{-\frac{3}{2}}$

$x^{\frac{2}{3}}$

$x^{-\frac{2}{3}}$

4.

MULTIPLE CHOICE

30 sec • 1 pt

Which of the following expressions is equivalent to $a=\log_cb$ ?

$c=a^b$

$c=b^a$

$b=c^a$

$b=a^c$

5.

MULTIPLE CHOICE

30 sec • 1 pt

Which of the following is a simplification of $\frac{x^{-1}-x^{-2}}{x-x^2}$ ?

$-\frac{1}{x^3}$

$\frac{1}{x^3}$

$-\frac{1}{x^2}$

$\frac{1}{x^2}$

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