Free Printable Powers & Roots Tutorial

1.

$\sqrt{2}\times\sqrt{2}\times\sqrt{2}\times\sqrt{2}\times2=.....................$

a)

$\sqrt{2}^5$

b)

$\sqrt{2}^6$

c)

$\sqrt{2}^7$

d)

$\sqrt{2}^8$

2.

$5\left(a^3\right)^0= (a)$

3.

$\left(\sqrt{3}\right)^8= (a)$

4.

$\left(\sqrt{256}\right)^{\frac{5}{4}}$ = ......................

a)

64

b)

256

c)

32

d)

512

5.

$\left(\frac{a^5}{a^{-2}}\right)^{-2}$

a)

$\frac{1}{a^{14}}$

b)

$\frac{1}{a^{15}}$

c)

$\frac{1}{a^6}$

d)

$a^{-13}$

6.

$\left(\sqrt{2}\right)^{-3}\times\left(\sqrt{2}\right)^9=\ 2^k,\ \ k\ = (a)$

7.

$\left\{\left(\sqrt{2}\right)^7\times\left(\sqrt{2}\right)^{-4}\right\}^5=...................$

a)

$\sqrt{3}^{15}$

b)

$\sqrt{2}^{15}$

c)

$\sqrt{2}^{55}$

d)

$\sqrt{2}^{23}$

8.

$\left(\sqrt{a}+\sqrt{b}\right)\left(\sqrt{a}-\sqrt{b}\right)\left(a+b\right)=..?..$

a)

$a+b$

b)

$a^2+b^2$

c)

$a-b$

d)

$a^2-b^2$

9.

$\frac{\sqrt{100}}{\sqrt{25}}=..?..$

a)

$\sqrt{5}$

b)

$\sqrt{2}$

c)

2

d)

5

10.

$2-\frac{1}{4}\sqrt{64}=..?..$

(a)

11.

$\frac{\sqrt{ab}-\sqrt{2b}}{\sqrt{b}}=..?..$

a)

$\sqrt{a}$

b)

$\sqrt{a}-\sqrt{2}$

c)

$\sqrt{a}+\sqrt{2}$

d)

$\sqrt{a}-\sqrt{b}$

12.

$\sqrt{7}\left(\sqrt{7}-\sqrt{28}\right)=..?..$

a)

-7

b)

-11

c)

7

d)

11

13.

$2\times\left(\sqrt{2}\right)^5\times\left(\sqrt{2}\right)^{-3}=\left(\sqrt{2}\right)^{a+1},$ $a= (a)$

14.

$\left\{\frac{\sqrt{5}^6\times\sqrt{5}^{-4}}{\sqrt{5}^{-2}}\right\}^{\frac{1}{2}}=..?..$

(a)

15.

$\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{3}=..?..$

a)

$\frac{5}{6}\sqrt{2}$

b)

$\frac{1}{6}\sqrt{2}$

c)

$\frac{1}{2}\sqrt{3}$

d)

$\frac{1}{3}\sqrt{2}$

Powers & Roots Tutorial

Total questions: 15

Worksheet time: 13mins

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