Respuesta :

Answer:

B. 1/16

Step-by-step explanation:

[tex] \frac{ {4}^{7} }{ {4}^{9} } = {4}^{7} \div {4}^{9} = {4}^{(7 - 9)} \\ = {4}^{ - 2} = \frac{1}{ {4}^{2} } = \frac{1}{4 \times 4} = \frac{1}{16} [/tex]

The answer is 1/16, option B

Answer:

[tex]\tt{} \frac{1}{16} [/tex]

Step-by-step explanation:

[tex]\tt{} \frac{ {4 }^{7} }{ {4}^{9} }[/tex]

[tex] \tt{} \frac{1}{ {4}^{(9 - 7)} } \\ \\ \tt{} \frac{1}{ {4}^{2} } \: \: \: \: \: \: \: \: \: [/tex]

[tex] \tt{} \frac{1}{4 \times 4} \\ \\ \tt{} \frac{1}{16} \: \: \: \: \: \: [/tex]