Free Printable Radicals and Powers

1.

Find the Greatest Common Factor (GCF) OF 12, 18 & 30

a)

1

b)

3

c)

6

d)

12

2.

What is the LMC ( 20 , 21 )

a)

100

b)

201

c)

420

d)

560

3.

A prime number...

a)

has one factor.

b)

has more than 2 factors.

c)

has 100 factors.

d)

has exactly 2 factors: 1 and the itself.

4.

A composite number ...

a)

has more than 2 factors.

b)

has one factor.

c)

has at least 10 factors.

d)

is always a really big number.

5.

Find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

6.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

7.

√72

a)

7√9

b)

4√6

c)

6√2

d)

3√4

8.

Write each mixed radical as an entire radical 7√3

a)

√21

b)

√147

c)

√149

d)

√42

9.

Write the mixed radical as an entire radical 6√5

a)

√30

b)

√60

c)

√150

d)

√180

10.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

11.

a)

5x^5/4

b)

5x^-5/4

c)

(5x)^-5/4

d)

(5x)^-4/5

12.

a)

b)

c)

13.

a)

b)

c)

14.

Simplify the expression

a)

$\frac{-1}{3x^5y^7}$

b)

$3x^5y^7$

c)

$16x^{13}y^9$

d)

$\frac{1}{16x^{13}y^9}$

15.

$\frac{18c^2}{-3c^3}$

a)

$\frac{6}{c}$

b)

$-6c^{ }$

c)

$\frac{-6}{c}$

d)

$\frac{18}{-3c}$

16.

$\left(\frac{3m^2n^7}{m}\right)^5$

a)

$15m^7n^{12}$

b)

$243m^5n^{35}$

c)

$15m^{15}n^{35}$

d)

$243m^7n^{12}$

17.

$\frac{x^{-2}}{x^{-10}y^{-8}}$

a)

$\frac{x^8}{y^{-8}}$

b)

$x^{20}y^8$

c)

$x^8y^8$

d)

$\frac{x^{10}y^8}{x^2}$

18.

The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0 g?

A=A_0\left(0.5\right)^{\frac{t}{h}}

a)

3.0g

b)

0.25mg

c)

0.3g

d)

0.25g

Radicals and Powers

Total questions: 18

Worksheet time: 1hrs 9mins

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