Rewrite in exponential form. 3 r \sqrt{3r} 3 r <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

( 3 r ) 1 2 \left(3r\right)^{\frac{1}{2}} ( 3 r ) 2 1

3 r 1 2 3r^{\frac{1}{2}} 3 r 2 1

( 3 r ) 2 1 \left(3r\right)^{\frac{2}{1}} ( 3 r ) 1 2

Radical & Rational Exponents Practice Quiz

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tell whether the following question is TRUE or FALSE. $\left(4x^3y^4\right)^2=16x^6y^8$

TRUE

FALSE

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

When simplified $\left(-3x^2\right)^2\left(4x^3\right)$ equals to

$-36x^{12}$

$36x^7$

$-36x^7$

$36x^{12}$

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression $\frac{3x^7y^6}{x^3y^8}=\frac{3x^?}{y^?}$ . What are the needed power for $x$ and $y$ ?

21 and 48

4 and 2

10 and 14

2 and 2

Tags

CCSS.8.EE.A.1

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression $\frac{2x^{-2}y^{-2}}{16x^{-12}y^2}=$ . What are the needed power for $x$ and $y$ ?

$-24x^{14}$

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

$\frac{x^{10}}{8y^4}$

$\frac{1}{16x^8y^4}$

Tags

CCSS.8.EE.A.1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which expression is equivalent to $\frac{18c^8d^9}{9c^3d^6}$ ?

$9c^{11}d^{15}$

$2c^5d^3$

$9c^5d^3$

$2c^{11}d^{15}$

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which expression is equivalent to $\left(x^9yz^4\right)^5$

$x^{14}y^6z^9$

$x^{14}y^5z^9$

$x^{45}yz^{20}$

$x^{45}y^5z^{20}$

Tags

CCSS.8.EE.A.1

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

a⁰ = ?

1

2

3

0

Tags

CCSS.8.EE.A.1

8.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

$\frac{x^8}{x^5}$

$x^{13}$

$x^3$

$\frac{x^5}{x^8}$

$x^{40}$

Tags

CCSS.HSA.APR.A.1

9.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

$\frac{x^8}{x^5}$

$x^{13}$

$x^3$

$\frac{x^5}{x^8}$

$x^{40}$

Tags

CCSS.HSA.APR.A.1

10.

FILL IN THE BLANKS QUESTION

10 mins • 1 pt

$y^4\ \circ\ y^6$

(a)

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Radical & Rational Exponents Practice

Tell whether the following question is TRUE or FALSE. (4x3y4)2=16x6y8\left(4x^3y^4\right)^2=16x^6y^8(4x3y4)2=16x6y8

When simplified (−3x2)2(4x3)\left(-3x^2\right)^2\left(4x^3\right)(−3x2)2(4x3) equals to

Simplify the expression 3x7y6x3y8=3x?y?\frac{3x^7y^6}{x^3y^8}=\frac{3x^?}{y^?}x3y83x7y6​=y?3x?​ . What are the needed power for xxx and yyy ?

Simplify the expression 2x−2y−216x−12y2=\frac{2x^{-2}y^{-2}}{16x^{-12}y^2}=16x−12y22x−2y−2​= . What are the needed power for xxx and yyy ?

Which expression is equivalent to 18c8d99c3d6\frac{18c^8d^9}{9c^3d^6}9c3d618c8d9​ ?

Which expression is equivalent to (x9yz4)5\left(x^9yz^4\right)^5(x9yz4)5

a0 = ?

x8x5\frac{x^8}{x^5}x5x8​

x8x5\frac{x^8}{x^5}x5x8​

y4 ∘ y6y^4\ \circ\ y^6y4 ∘ y6 (a)

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Discover more resources for Mathematics

Tell whether the following question is TRUE or FALSE. $\left(4x^3y^4\right)^2=16x^6y^8$

When simplified $\left(-3x^2\right)^2\left(4x^3\right)$ equals to

Simplify the expression $\frac{3x^7y^6}{x^3y^8}=\frac{3x^?}{y^?}$ . What are the needed power for $x$ and $y$ ?

Simplify the expression $\frac{2x^{-2}y^{-2}}{16x^{-12}y^2}=$ . What are the needed power for $x$ and $y$ ?

Which expression is equivalent to $\frac{18c^8d^9}{9c^3d^6}$ ?

Which expression is equivalent to $\left(x^9yz^4\right)^5$

a⁰ = ?

$\frac{x^8}{x^5}$

$\frac{x^8}{x^5}$

$y^4\ \circ\ y^6$

(a)