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Exponents including Power to a Power

Authored by William Denning

Mathematics

6th - 8th Grade

CCSS covered

Used 6+ times

Exponents including Power to a Power
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

SImplify the following:  (54)3\left(5^4\right)^3  

 575^7  

 5125^{12}  

 1257125^7  

 12512125^{12}  

Tags

CCSS.8.EE.A.1

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the following:  (2x)(x4)\left(2x\right)\left(x^4\right)  

 2x42x^4  

 3x43x^4  

 2x52x^5  

 3x53x^5  

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the following:  (3x2)2\left(3x^2\right)^2  

 3x43x^4  

 6x46x^4  

 9x49x^4  

 81x481x^4  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following statements correctly simplifies the two expressions:  (22)(23)\left(2^2\right)\left(2^3\right)   and  (22)3\left(2^2\right)^3  ?

the first expression simplifies to  252^5  , while the second expression simplifies to  262^6  .

the first expression simplifies to  262^6  , while the second expression simplifies to  252^5  .

both expressions simplify to  252^5  .

both expressions simplify to  262^6  .

Tags

CCSS.8.EE.A.1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 Which of the following statements correctly simplifies the two expressions:  (5x2)(5x2)\left(5x^2\right)\left(5x^2\right)  and  (5x2)2\left(5x^2\right)^2  ?

the first expression simplifies to  10x410x^4 , while the second expression simplifies to  25x425x^4  .

the first expression simplifies to  25x425x^4  , while the second expression simplifies to  10x410x^4  .

both expressions simplify to  10x410x^4  .

both expressions simplify to  25x425x^4  .

Tags

CCSS.8.EE.A.1

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the following variable expression: (3x)33x3\frac{\left(3x\right)^3}{3x^3}  (assuming  x ≠ 0x\ \ne\ 0  )

0

1

3

9

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 (x5)(x2)3\left(x^5\right)\left(x^2\right)^3  Simplify the following expression:

 x10x^{10}  

 x11x^{11}  

 x17x^{17}  

 x30x^{30}  

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