P.3 integer exponents (property names)

Question 1

x^a 3^7
—– = x^a+b ——- = 3^3
x^b 3^4

Answer 1

Quotient of powers with equal bases

Question 2

x^a * x^b = x^a+b

3^4 * 3^7 = 3^11

Answer 2

Product of powers with equal bases

Question 3

x^n

x is called? n? whole thing?

Answer 3

x is the base
n is the exponent
whole thing is called a power

Question 4

(x^a)^b= x^ab
(3^3)^4 = 3^12

Answer 4

Power of a power

Question 5

(x*y)^a = x^a y^a

(3 a^2 b)^3 = 3^3 a^6 b^3 = 27 a^6 b^3

Answer 5

Power of a product

Question 6

(3)^3 3^3
(–) = —-
(4) 4^3

Answer 6

Power of a quotient

Question 7

x^-n = 1
–
x^n

Answer 7

exponentiation for negative exponents

Question 8

a^0 = 1

Answer 8

anything to the zero power is 1

Question 9

(a)^-n ( b)^n
(–) = ( –)
(b) (a)

Answer 9

reciprocal

Question 10

a^-n b^m
——- = ——
b^-m a^n

Answer 10

reciprocal