Free Printable Index Laws

1.

Index laws only apply when the

Base (big number) is the same

a)

True

b)

False

2.

One of the Laws tells us when two of the same Base are being Multiplied, you must ______ the Powers

a)

Multiply

b)

Add

c)

Subtract

d)

Divide

3.

One of the Laws tells us when two of the same Base are being Divided, you must ______ the Powers

a)

Multiply

b)

Add

c)

Subtract

d)

Divide

4.

One of the Laws tells us any

BASE to the Power of Zero,

always gives the answer....

a)

1

b)

0

c)

Can't be done

d)

None of the other answers

5.

Simplify the following using Index Laws,
$5^9$ x $5^3$

a)

$5^{12}$

b)

$5^6$

c)

$12^5$

d)

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5

6.

Simplify the following using Index Laws,
$x^4$ x $x^2$

a)

$x^6$

b)

$x^8$

c)

$8^x$

d)

$x\ \times\ x\ \times\ x\ \times\ x\ \times\ x\ \times\ x$

7.

Simplify the following using Index Laws,
$x^7$ x $x^{10}$ x $x^3$

a)

$x^{20}$

b)

$x^{210}$

c)

$20x$

d)

$x\ \times\ 7\times\ 10\times\ 3$

8.

Simplify the following using Index Laws,
$x^8\ \ \div\ \ x^2$

a)

$x^6$

b)

$x^4$

c)

$x^{10}$

d)

$x^{16}$

9.

Simplify the following using Index Laws,
$3^{21}\ \ \div\ \ 3^7$

a)

$3^{14}$

b)

$3^3$

c)

$3^{28}$

d)

$x^{14}$

10.

Simplify the following using Index Laws,
$x^{20}$ $\div$ $x^{10}$ x $x^3$

a)

$x^{13}$

b)

$x^6$

c)

$x^{600}$

d)

$x^{27}$

Index Laws

Total questions: 10

Worksheet time: 14mins

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