Calculus Examples

${(9 x^{\frac{1}{2}})}^{2}$

Step 1

Apply the product rule to $9 x^{\frac{1}{2}}$ .

$9^{2} {(x^{\frac{1}{2}})}^{2}$

Step 2

Raise $9$ to the power of $2$ .

$81 {(x^{\frac{1}{2}})}^{2}$

Step 3

Multiply the exponents in ${(x^{\frac{1}{2}})}^{2}$ .

Tap for more steps...

Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$81 x^{\frac{1}{2} \cdot 2}$

Step 3.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.2.1

Cancel the common factor.

$81 x^{\frac{1}{2} \cdot 2}$

Step 3.2.2

Rewrite the expression.

$81 x^{1}$

Step 4

Simplify.

$81 x$