Indices

Multiplication and Division

100

When multiplying terms with the same base, we (add, subtract, multiply, divide) the powers.

Add

200

y² x y⁸

y¹⁰

300

8¹² ÷ 8³

8⁹

400

5⁷ x 5¹² x 5³

5²²

500

20a⁹ ÷ 4a⁴

5a⁵

Power of a Power

100

When raising a term with a power, to a power, we (add, subtract, multiply, divide) the powers.

Multiply

200

(b³)⁴

b¹²

300

(5⁸)³

5²⁴

400

(2y⁴)³

8y¹²

500

(3a²b⁵)³

27a⁶b¹⁵

Trivia

100

What is the capital of the Northern Territory?

Darwin

200

Lesotho is located on what continent?

Africa

(It is in South Africa)

300

How many months is an elephant pregnant for?

(Hint: Less than 2 years)

22 months

400

How many countries does the equator pass through?

(Hint: Less than 30)

13

( Ecuador, Colombia, Brazil, Sao Tome & Principe, Gabon, Republic of the Congo, Democratic Republic of the Congo, Uganda, Kenya, Somalia, Maldives, Indonesia and Kiribati)

500

In Switzerland, it is illegal to own only one Guinea pig. Why is this?

They may get lonely.

Negative Powers

100

Re-write a^-2 as a fraction

1 / a²

200

Rewrite 5^-2 using a positive index.

1 / 5²

300

ab^-3

a / b³

400

( 2 / 7 )^-1

7 / 2

500

(3n)^-2

1 / 9n²

Scientific Notation

100

If the index is negative, we move the decimal to the (left, right).

Left

200

Write in scientific notation: 

6400

6.4 x 10³

300

Write in scientific notation:

0.00045

4.5 x 10⁴

400

3.45 x 10⁴

34500

500

8.954 x 10^-5

0.00008954