Which expression is equivalent to (8^2)-4 ??

A. 1/8^2
B. -1/ 8•8•8•8•8•8•8•8
C. 1/8•8•8•8•8•8•8•8
D. 8^2

Respuesta :

Answer:

Option C [tex]\frac{1}{8*8*8*8*8*8*8*8}[/tex]

Step-by-step explanation:

we have

[tex](8^{2})^{-4}[/tex]

Remember that

[tex](a)^{-b} = \frac{1}{a^{b}}[/tex]

[tex](a^{b})^{c}=(a)^{b*c}[/tex]

therefore

[tex](8^{2})^{-4}=(8)^{-4*2}=(8)^{-8}[/tex]

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

[tex]\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}[/tex]

Answer:

C

Step-by-step explanation: