Algebraic expressions

Question 1

What can you use to simplify powers of the same base?

Answer 1

The laws of indices

Example: a x a = a^(q+n)

Question 2

What is the opposite of expanding brackets?

Answer 2

Factorising

Question 3

What is a quadratic expression?

Answer 3

An expression of the form ax^2 + bx + c where a, b, and c are real numbers and a ≠ 0

Question 4

What is the rule for manipulating surds?

Answer 4

√(ab) = √a * √b

Question 5

Can you use the laws of indices with any rational power?

Answer 5

Yes

Question 6

What is the first rule to rationalise denominators?

Answer 6

For fractions in the form a/(√b), multiply the numerator and denominator by √b

Question 7

What is the second rule to rationalise denominators?

Answer 7

For fractions in the form a/(√a - √b), multiply the numerator and denominator by (√a + √b)

Question 8

What is the expression for a^(-m)?

Answer 8

1/a^m

Question 9

What is the simplified form of (ab)^(1/2)?

Answer 9

√a * √b

Question 10

Complete the rule: a^0 = _______

Answer 10

1