chilly7
Answered

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What is the value of 4^6/4^8

A. 1/1024
B. 1/256
C. 1/64
D. 1/16​

Sagot :

wegnerkolmp2741o

Answer:

1/16

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

4^6/4^8

4^(6-8)

4^-2

We know that a^-b = 1/a^b

1/4^2

1/16

Answer:

D

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] with n > m

= [tex]\frac{1}{a^{(n-m)} }[/tex] , then

[tex]\frac{4^{6} }{4^{8} }[/tex]

= [tex]\frac{1}{4^{(8-6)} }[/tex]

= [tex]\frac{1}{4^{2} }[/tex]

= [tex]\frac{1}{16}[/tex] → D

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