Question

2)

Which expression is equivalent to 4 to the 9th power and 4 to the 0 power
a. 4 to the 8th power
b. 4 to the 0 power
C. 4 to the 7 power
d. 4 to the 9 power

Answer 1

d. 4^9

Explanation:

Question:

Which expression is equivalent to 4^9/4^0?

a. 4^8

b. 4^0

c. 4^7

d. 4^9

Solution:

By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.

Any number divided by 1 equals the number itself.

For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.

4^0 = 1

Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.

4^9/4^0 = 4^9/1 = 4^9