Free Printable Week 12 L 4 - 1; L 4

1.

Write as a radical expression
y^2/3

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

2.

Write in exponential form
√x⁵

a)

X^1/5

b)

X^2/5

c)

X^5/2

d)

X⁵

3.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

4.

Simplify:

a)

2√12

b)

4√12

c)

4√3

d)

16√3

5.

Rewrite in Radical Form.

a)

A

b)

B

c)

C

d)

D

6.

Simplify: $\left(x^{\frac{1}{2}}\right)\left(x^{\frac{3}{4}}\right)$
Hint: $a^n\cdot a^m=a^{n+m}$

a)

$x^{\frac{4}{6}}$

b)

$\sqrt{x}$

c)

$x^{\frac{5}{4}}$

7.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

8.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

9.

Simplify:

a)

5x√2

b)

100x√2

c)

10x√2

d)

10√2x

10.

Simplify the expression

a)

2

b)

-2

c)

16³

d)

4

11.

Simplify the expression

a)

4y²

b)

-4y²

c)

-4y², 4y²

d)

No real solution

12.

Simplify. Write your final answer using only exponents.

\ \ ^4\sqrt{x^8y^{12}}

a)

$x^2y^3$

b)

$x^{\frac{1}{2}}y^{\frac{1}{3}}$

c)

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

d)

$x^4y^8$

13.

Simplify. Write your final answer using only exponents.

x^{\frac{4}{5}}x^{\frac{3}{5}}

a)

$x^{\frac{7}{5}}$

b)

$x^{\frac{1}{5}}$

c)

$x^{\frac{12}{25}}$

d)

$x^{\frac{12}{5}}$

14.

Simplify. Write your answer using only exponents. $\left(x^{\frac{4}{5}}y^{\frac{1}{4}}\right)^{\frac{2}{3}}$

a)

$x^{\frac{8}{15}}y^{\frac{1}{6}}$

b)

$x^{\frac{8}{5}}y^{\frac{1}{2}}$

c)

$x^{\frac{3}{4}}y^{\frac{3}{7}}$

d)

$x^{\frac{22}{15}}y^{\frac{11}{12}}$

15.

Simplify. Write your answer in radical form. $\frac{y^{\frac{4}{7}}}{y^{\frac{6}{7}}}$

a)

$\frac{1}{^7\sqrt{y^2}}$

b)

$^7\sqrt{y^2}$

c)

$\frac{1}{^2\sqrt{y^7}}$

d)

$-^2\sqrt{y^7}$

Week 12 L 4 - 1; L 4 - 2

Total questions: 15

Worksheet time: 52mins

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