Indices

Definitions

100

Another name for an index is a/an 

exponent/power

200

For xⁿ:

x is called the ______ and n is called the ______.

Base and index

300

A root of degree 3 is also called _______ ______

cube root

400

Scientific notation is also called _________ _______

standard notation or standard form

500

x^-m is the _________ of x^m

Reciprocal

Simplifying using index laws

100

(5m²)⁴

625m⁸

200

3a²(2a³+3a)

6a⁵+9a³

300

3^x ÷ 3^x-1

3

400

(x^(2y)) /(x^(y+1))

x^y-1

500

(3^(2x+2))^2/(3x)^4

81

Negative/Fractional indices

100

Rewrite using a negative index:

2/(m^2)

2m^-2

200

Rewrite without a negative index: (3^-x a^-4)

1/(3^xa^4)

300

Rewrite without fractional indices:

(9b)^(-1/2)

1/(3root()(b)

400

Simplify the following: 

9(a^(1/2))^(1/2)div3a^(1/4)

3

500

Simplify the following: 

(3(a^2b^(-4))^2)/(2ab^2)^2 div ((ab)^-2)/(3a^-2b)^2

27/(4b^8)

Miscellaneous

100

I recently got a dog. What breed is the dog?

Border Collie.

200

How many children does Mrs Laga'Aia have?

7

300

I do Freddo Fridays because one of my high school teachers did. What subject did this teacher teach?

Science/Physics

400

what is the last photo on my phone?

Me and a dog

500

Last week when we were going through our exam, I spoke about a mathematician. What country was he from?

France