Which expression is equivalent to {4x^3}(2x)^-4 ?
To find the equivalent expression, we need to apply the rule of exponents when two terms are being multiplied together. The rule states that when multiplying two terms with the same base, we add their exponents.
In this case, we have {4x^3}(2x)^-4. The base is x, and the exponents are 3 and -4, respectively.
So, the equivalent expression is 4x^(3+(-4)).
Since adding a negative is the same as subtracting positive, the exponent 3+(-4) can be simplified to 3-4.
Therefore, the equivalent expression is 4x^(-1), or 4/x.