Question

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

Answer 1

2^-3

Step-by-step explanation:

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

`(2^3)/(4^3)=(2^3)/((2^2)^3)`

With can further be rewritten as

`(2^3)/(2^6)`

Next, we use the property of the exponents that

`\frac{a^x}{a^y^{}}=a^(x-y)`

to write the above as

`(2^3)/(2^6)=\boxed{2^(-3)}`

which is our answer!