exponents

Question 1

first law of exponents?

Answer 1

(a/b) ^ m * (a/b) ^ n = (a/b) ^ (m + n)
in multiplication, we add the powers if we have the same base

Question 2

second law of exponents?

Answer 2

[(a/b) ^ m] ^ n = (a/b) ^ (mn)
if we have power upon power, we multiply the powers

Question 3

third law of exponents?

Answer 3

(a/b) ^ m * (c/d) ^ m = (a/b * c/d) ^ m
in multiplication, if we have different bases with the same powers, we multiply the bases with the power

Question 4

fourth law of exponents?

Answer 4

((a/b) ^ m)) / ((a/b) ^ n) = (a/b) ^ (m - n)
in division, we subtract the powers if we have the same base

Question 5

fifth law of exponents?

Answer 5

for any non-zero rational number a/b and a positive integer n (a/b) ^ (- n) = (b/a) ^ n

Question 6

sixth law of exponents?

Answer 6

anything raised to the power 0 = 1