AdrainP433960 AdrainP433960
  • 29-10-2022
  • Mathematics
contestada

Write an exponential expression that is equivalent to 2^3/4^3

Respuesta :

AnahitK529171 AnahitK529171
  • 29-10-2022

Answer:

2^-3

Explanation:

To write the equivalent expression, we first realize that 4 = 2^2; therefore, the expression can be written as

[tex]\frac{2^3}{4^3}=\frac{2^3}{(2^2)^3}[/tex]

With can further be rewritten as

[tex]\frac{2^3}{2^6}[/tex]

Next, we use the property of the exponents that

[tex]\frac{a^x}{a^y^{}}=a^{x-y}[/tex]

to write the above as

[tex]\frac{2^3}{2^6}=\boxed{2^{-3}}[/tex]

which is our answer!

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