Year 9 Indices

Question 1

Base number of 2³

Answer 1

2

Question 2

Power (indices) of of 2³

Answer 2

³

Question 3

Laws of indices

Answer 3

xᵃ x xᵇ = xᵃ ⁺ ᵇ
When multiplying 2 numbers, add the indices

xᵃ / xᵇ = xᵃ ⁻ ᵇ
When dividing 2 numbers, minus the indices

(xᵃ)ᵇ = xᵃᵇ
When we raise a power to a power, we multiply the exponents

Question 4

Percentage change

Answer 4

(Old value - new value / old value) x 100

Question 5

Any base to the power of 0 =
Eg. 255° =

Answer 5

1

TRICK QUESTION IN EXAM

Question 6

Any base to the power of a negative number is

Answer 6

1 / baseⁿᵉᵍᵃᵗᶦᵛᵉ ⁿᵘᵐᵇᵉʳ ˣ ⁻¹

Question 7

What is standard form

Answer 7

When a number is expressed as a x 10ᵇ
a: number that will be multiplied by 10 to the b, it needs to be bigger than 0 and smaller than 10
can still be negative
b: any integer including 0

Question 8

Write 4000 in standard form

Answer 8

4 x 1000
4 x 10³

Question 9

Convert 0.000000000000001 to standard form

Answer 9

If the number is between 0 and 1, then count the number of zeros before the digit +1, as the off power of 10, with a negative sign in front of it.
1 x 10⁻¹⁵