Question

Find the value of 4^7/4^9
A.-16
B.1/16
C.1/8
D.8

Answer 1

Answer:

`\tt{} (1)/(16)`

Explanation:

`\tt{} \frac{ {4 }^(7) }{ {4}^(9) }`

`\tt{} \frac{1}{ {4}^((9 - 7)) } \\ \\ \tt{} \frac{1}{ {4}^(2) } \: \: \: \: \: \: \: \: \:`

`\tt{} (1)/(4 * 4) \\ \\ \tt{} (1)/(16) \: \: \: \: \: \:`

Answer 2

B. 1/16

Explanation:

`\frac{ {4}^(7) }{ {4}^(9) } = {4}^(7) / {4}^(9) = {4}^((7 - 9)) \\ = {4}^( - 2) = \frac{1}{ {4}^(2) } = (1)/(4 * 4) = (1)/(16)`

The answer is 1/16, option B