Simplify (b^4)/(b1/2)

$\frac{b^{4}}{b \frac{1}{2}}$

Step 1

Cancel the common factor of $b^{4}$ and $b$ .

Factor $b$ out of $b^{4}$ .

$\frac{b \cdot b^{3}}{b (\frac{1}{2})}$

Cancel the common factors.

Cancel the common factor.

$\frac{b \cdot b^{3}}{b \frac{1}{2}}$

Rewrite the expression.

$\frac{b^{3}}{\frac{1}{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$b^{3} \cdot 2$

Step 3

Move $2$ to the left of $b^{3}$ .

$2 b^{3}$