Free Printable Index law with negtive powers too

1.

What is the correct law for multiplication? a^m x aⁿ=

a)

a^m+n

b)

a^m + aⁿ

c)

a^mxn

d)

a^mn

2.

What is the correct law for division? a^m ÷ aⁿ =

a)

a^m-n

b)

a^m - aⁿ

c)

a^m÷n

d)

a^m/n

3.

What is the correct law for powers of powers? (a^m)ⁿ =

a)

a^m x aⁿ

b)

a^{m x n}

c)

a^m+n

d)

a^men

4.

Simplify: 3⁵ x 3⁷

a)

3³⁵

b)

9¹²

c)

9³⁵

d)

3¹²

5.

Simplify: 2⁸ ÷ 2²

a)

2⁶

b)

2⁴

c)

2¹⁰

d)

1

6.

$\left(\frac{2}{3}^{ }\right)^{-1}$ Simplify

a)

$\frac{3}{2}$

b)

$-\frac{3}{2}$

c)

$-\frac{2}{3}$

7.

Simplify $\left(\frac{1}{3}\right)^{-2}$

a)

$\frac{1}{9}$

b)

$9$

c)

$-\frac{2}{6}$

d)

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

8.

Simplify: f⁰

a)

1

b)

f

c)

f¹

d)

0

9.

Simplify:

\frac{y^4}{y^{-2}}

a)

$y^6$

b)

$y^2$

c)

$y^{-6}$

d)

$y^{-8}$

10.

Simplify: 3x³ × 6x⁸

a)

18x¹¹

b)

18x²⁴

c)

9x¹¹

d)

9x²⁴

11.

Simplify: 42m¹² ÷ 7m⁶

a)

6m⁶

b)

6m²

c)

35m⁶

d)

35m²

12.

Simplify: (y⁷)²

a)

y¹⁴

b)

y⁴⁹

c)

y⁵

d)

y⁹

13.

Simplify:

\left(3h^3\right)^2

a)

$9h^6$

b)

$6h^5$

c)

$3h^6$

d)

$3h^5$

14.

Index laws only apply when the

Base (big number) is the same

a)

True

b)

False

15.

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

16.

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

17.

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

18.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

\frac{1}{y^{18}}

19.

$7^{-2}$

a)

-49

b)

-14

c)

$-\frac{1}{49}$

d)

$\frac{1}{49}$

20.

$x^{-2}\times\ x^6$ Simplify.

a)

$x^4$

b)

$x^{-8}$

c)

$x^{-12}$

d)

$x^{12}$

Index law with negtive powers too

Total questions: 20

Worksheet time: 24mins

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