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

Answer:

A.

Step-by-step explanation:

Rule:

When 2 or more exponents divide, they subtract.

Divide using the rule:

${4}^{36} \div {4}^{9} = {4}^{36 - 9} = {4}^{27}$

B, C, and D are incorrect.

A is the correct option.

$( {4}^{9} )^{3} = {4}^{9 \times 3} = {4}^{27}$