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

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

User Joe Stein
by
8.2k points

1 Answer

10 votes

Answer:

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)

User Spencercw
by
8.3k points

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