Algebra

Question 0

How do I multiply powers?

Answer 0

X to the power of 4 × X to the power of 2 = (X × X × X × X) × (X × X) = X to the power of 6

Question 1

What are powers?

Answer 1

When A letter is multiplied by itself we use powers.

R x R = R to the power of 2

Question 2

How do I divide powers?

Answer 2

When dividing index expressions, divide numbers and subtract powers.
Eg. P to the power of 6 / P to the power of 2 = P to the power of 4

Question 3

How do I multiply powers of powers?

Answer 3

When simplifying index expressions with powers of powers , multiply the indices ( powers )
Eg. (X to the power of 3) to the power of 2 = X to the power of 6

Question 4

What are square roots?

Answer 4

To take the square root of an index expression treat numbers normally but halve powers.
Eg. The square root of 81x to the power of 16 = 9x to the power of 8

Question 5

How do I expand brackets?

Answer 5

When expanding brackets, each term inside the bracket is multiplied by the term directly outside the brackets.
Eg. 4(X + 2)= 4×X + 4×2 = 4X + 8

Question 6

How do I expand two sets of brackets?

Answer 6

FOIL = first/outside/inside/last

(X+2) (X+3) = X to the power of 2 + 5X + 6

Question 7

What are perfect squares?

Answer 7

When two expressions in pairs of brackets are the same, the whole expression is call a perfect square.

Question 8

What is factorizing?

Answer 8

Factor using is the reverse process to expanding.

4a + 4b = 4(a+b)

Question 9

Inequalities

Answer 9

> greater than
< less than
_ greater than and equal too

<_ less than and equal too

Question 10

If you multiply or divide by a negative number does the sign swap.

Answer 10

Yes an. If your not good with using the signs then change them to equal signs and then change it back to the sign.

Question 11

Rearranging

IR = V

Answer 11

R= V
_
I