Index Laws

Question 1

How do you make a formula for indices problem-solving?

Answer 1

Starting number multiplied by the amount of changes by to the power of the time period

Question 2

Index law one

Answer 2

Multiplying powers. Multiplying numbers in index form that have the same base. Add the powers.

Question 3

Index law two

Answer 3

Division of powers. When dividing numbers in index form with the same base, keep base and subtract powers.

Question 4

Index law three

Answer 4

Any base raised to the power of zero equals one. Except 0 to the power of zero as this is just zero.

Question 5

Index law four

Answer 5

Power of the power. When raising a power to another power, keep the base and multiply the powers.

Question 6

Index law five

Answer 6

Power of a product. To raise a product to a power, apply the power to each base being multiplied. (ab)x =ax time bx

Question 7

Index law six

Answer 7

Power of a quotient. To raise a fraction (division) to a power, apply power to both the numerator and denominator