Question

Which expression is equivalent to (4 x cubed) (2 x) Superscript negative 4? StartFraction 1 Over 4 x EndFraction StartFraction 4 Over x EndFraction StartFraction 8 Over x EndFraction StartFraction 128 Over x EndFraction

Answer 1

Option c: $\frac{1}{4 x}$

Step-by-step explanation:

The expression is $(4x^{3})(2x)^{-4}$

Applying the exponent rule, we have,

$\frac{4x^{3} }{(2x)^{4} }$

Multiplying the denominator,

$\frac{4x^{3} }{2^{4} x^{4} }$

Rewriting this expression,

$\frac{4x^{3} }{16 x^{4} }$

Cancelling the common terms, we have,

$\frac{1 }{4x }$

Thus, the expression equivalent to $(4x^{3})(2x)^{-4}$ is $\frac{1 }{4x }$

Answer 2

Answer:

B

Step-by-step explanation: