Quiz about Laws of indices

Question 1

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

Accepted Answer

am+n

Answer

am + an

Answer

amxn

Answer

amn

Question 2

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

Accepted Answer

amn

Answer

am+n

Answer

am x an

Answer

am-n

Question 3

What is the correct law for (ab)ⁿ?

Accepted Answer

anbn

Answer

abn

Answer

an+bn

Answer

anb

Question 4

What is the correct law for $$\left(\frac{a}{b}\right)^n$$ ?

Accepted Answer

$$\frac{a^n}{b^n}$$

Answer

an-bn

Answer

$$\frac{a^n}{b}$$

Answer

$$\frac{a}{b^n}$$

Question 5

Simplify: x⁰

Accepted Answer

1

Answer

x

Answer

x1

Answer

0

Question 6

Simplify: (y⁷)²

Accepted Answer

y14

Answer

y49

Answer

y5

Answer

y9

Question 7

Simplify: (3h²)³

Accepted Answer

27h6

Answer

27h5

Answer

9h6

Answer

9h5

Question 8

Simplify

$$\frac{t^3}{t}$$

Accepted Answer

t2

Answer

t

Answer

2t

Answer

1

Question 9

$$\frac{8x^7}{10x^5}$$

Accepted Answer

$$\frac{4}{5}x^2$$

Answer

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

Answer

$$\frac{5}{4}x^2$$

Answer

1

Question 10

Remove the brackets and simplify:

(ab)⁶

Accepted Answer

a6b6

Answer

ab6

Answer

a6+b6

Answer

a6-b6

Question 11

Remove the brackets and simplify:

(2ab)⁵

Accepted Answer

32a5b5

Answer

32ab5

Answer

32a⁵+32b⁵

Answer

32(a⁵+b⁵)

Question 12

Remove the brackets and simplify:

$$\left(\frac{x}{y}\right)^3$$

Accepted Answer

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

Answer

x3y3

Answer

x3-y3

Answer

xy3

Question 13

Simplify:

(3a⁵)²

Accepted Answer

9a10

Answer

3a10

Answer

9a7

Answer

3a7

Question 14

Simplify:

(2a²b³)²

Accepted Answer

4a4b6

Answer

4a2b5

Answer

4a2b2

Answer

2a4b6

Question 15

Simplify:

$$\left(\frac{3}{ab}\right)^2$$

Accepted Answer

$$\frac{9}{a^2b^2}$$

Answer

3ab2

Answer

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

Question 16

Simplify:

$$\left(\frac{3x}{5y}\right)^2$$

Accepted Answer

$$\frac{9x^y}{25y^2}$$

Answer

$$\frac{3x}{5y}$$

Answer

$$\frac{9x}{25y}$$

Question 17

Simplify:

$$\left(\frac{4x^3}{7y^2}\right)^2$$

Accepted Answer

$$\frac{16x^6}{49y^4}$$

Answer

$$\frac{4x^6}{7y^4}$$

Answer

$$\frac{16x^5}{49y^4}$$

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