Basic Math Examples

${(15 \sqrt{2})}^{2}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Apply the product rule to

$15 \sqrt{2}$ .

$15^{2} {\sqrt{2}}^{2}$

Step 1.2

Raise

$15$ to the power of

$2$ .

$225 {\sqrt{2}}^{2}$

$225 {\sqrt{2}}^{2}$

Step 2

Rewrite

${\sqrt{2}}^{2}$ as

$2$ .

Tap for more steps...

Step 2.1

Use

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite

$\sqrt{2}$ as

$2^{\frac{1}{2}}$ .

$225 {(2^{\frac{1}{2}})}^{2}$

Step 2.2

Apply the power rule and multiply exponents,

${(a^{m})}^{n} = a^{m n}$ .

$225 \cdot 2^{\frac{1}{2} \cdot 2}$

Step 2.3

Combine

$\frac{1}{2}$ and

$2$ .

$225 \cdot 2^{\frac{2}{2}}$

Step 2.4

Cancel the common factor of

$2$ .

Tap for more steps...

Step 2.4.1

Cancel the common factor.

$225 \cdot 2^{\frac{2}{2}}$

Step 2.4.2

Rewrite the expression.

$225 \cdot 2^{1}$

$225 \cdot 2^{1}$

Step 2.5

Evaluate the exponent.

$225 \cdot 2$

$225 \cdot 2$

Step 3

Multiply

$225$ by

$2$ .

$450$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$