Algebra and Functions

Question 1

Multiplication with indices

Answer 1

If the values or variables at the bottom are the same then the powers are added together.
For a:
aᵇ * aᶜ = aᵇ⁺ᶜ

Question 2

Division with indices

Answer 2

If the values or variables at the bottom are the same then the powers are added together.
For a:
aᵇ / aᶜ = aᵇ⁻ᶜ

Question 3

Raising a power to a power

Answer 3

Multiply the powers inside the brackets with the powers outside the bracket.
For a:
(aᵇ)ᶜ = aᵇᶜ

Question 4

Raising to the power of a fraction

Answer 4

Root the number by the denominator and raise it to the power of the numerator.
For a:
aᵇ/ᶜ = (ᶜ√a)ᵇ

Question 5

Raising to the power of a negative number

Answer 5

Find the reciprocal of the value equal to the same number with positive power.
For a:
a⁻ᵇ = 1/aᵇ

Question 6

What is ((x³/²)/y)⁻ᶻ?

Answer 6

yᶻ/(√x)³ᶻ