Respuesta :

gracesmom1703owjm8k

Lets use algebra and simplify:

\frac{\frac{4f^{2}}{3}}{\frac{1}{4f}} \\=\frac{4f^{2}}{3}* \frac{4f}{1} \\=\frac{16f^{3}}{3}

Note in the above steps: dividing by a fraction is same as multiplying by its reciprocal

The first answer choice is the correct one.

adioabiola

The expression equivalent to StartFraction 4 f squared Over 3 EndFraction divided by StartFraction 1 Over 4 f EndFraction is

[tex]= \frac{ {8f}^{3} }{3} [/tex]

Given:

StartFraction 4 f squared Over 3 EndFraction divided by StartFraction 1 Over 4 f EndFraction

[tex] = \frac{ {4f}^{2} }{3} \div \frac{1}{4f} [/tex]

  • cross product

= 4f² / 3 × 4f / 2

= (4f² × 4f) / (3 × 2)

= 16f³ / 6

= 8f³ / 3

[tex] = \frac{ {8f}^{3} }{3} [/tex]

Therefore, the expression equivalent to StartFraction 4 f squared Over 3 EndFraction divided by StartFraction 1 Over 4 f EndFraction is

[tex] = \frac{ {8f}^{3} }{3} [/tex]

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