Question

Which expression is equivalent to 4^36/ 4^9

a. (4^9)^3
b. 4^4
c. 4^45
d. 1/4^4

Answer 1

A.

Explanation:

Rule:

When 2 or more exponents divide, they subtract.

Divide using the rule:

`{4}^(36) / {4}^(9) = {4}^(36 - 9) = {4}^(27)`

B, C, and D are incorrect.

A is the correct option.

`( {4}^(9) )^(3) = {4}^(9 * 3) = {4}^(27)`