Exponent Rules

Question 1

x^0 = ?

Answer 1

1 – Any number raised to the 0th power = 1

Question 2

x^-y = ?

Answer 2

1/x^y – Any number x raised to a negative power -y can be expressed as a fraction in which 1 is the numerator, x is the denominator and the negative power -y becomes positive

Question 3

(x^y)(x^z) = ?

Answer 3

x^(y+z) – To multiply like-bases, add the exponents together

Question 4

(x^y) ÷ (x^z) = ?

Answer 4

x^(y-z) – To divide like-bases, subtract the exponents

Question 5

(x^y)^z = ?

Answer 5

x^(y⋅z) – Multiply the exponents inside and outside of the parentheses