Basic Math Examples

$16.5 \div \sqrt{0.804984}$

Step 1

Rewrite the division as a fraction.

$\frac{16.5}{\sqrt{0.804984}}$

Step 2

Multiply $\frac{16.5}{\sqrt{0.804984}}$ by $\frac{\sqrt{0.804984}}{\sqrt{0.804984}}$ .

$\frac{16.5}{\sqrt{0.804984}} \cdot \frac{\sqrt{0.804984}}{\sqrt{0.804984}}$

Step 3

Combine and simplify the denominator.

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Step 3.1

Multiply $\frac{16.5}{\sqrt{0.804984}}$ by $\frac{\sqrt{0.804984}}{\sqrt{0.804984}}$ .

$\frac{16.5 \sqrt{0.804984}}{\sqrt{0.804984} \sqrt{0.804984}}$

Step 3.2

Raise $\sqrt{0.804984}$ to the power of $1$ .

$\frac{16.5 \sqrt{0.804984}}{{\sqrt{0.804984}}^{1} \sqrt{0.804984}}$

Step 3.3

Raise $\sqrt{0.804984}$ to the power of $1$ .

$\frac{16.5 \sqrt{0.804984}}{{\sqrt{0.804984}}^{1} {\sqrt{0.804984}}^{1}}$

Step 3.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{16.5 \sqrt{0.804984}}{{\sqrt{0.804984}}^{1 + 1}}$

Step 3.5

Add $1$ and $1$ .

$\frac{16.5 \sqrt{0.804984}}{{\sqrt{0.804984}}^{2}}$

Step 3.6

Rewrite ${\sqrt{0.804984}}^{2}$ as $0.804984$ .

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Step 3.6.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{0.804984}$ as ${0.804984}^{\frac{1}{2}}$ .

$\frac{16.5 \sqrt{0.804984}}{{({0.804984}^{\frac{1}{2}})}^{2}}$

Step 3.6.2

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

$\frac{16.5 \sqrt{0.804984}}{{0.804984}^{\frac{1}{2} \cdot 2}}$

Step 3.6.3

Combine $\frac{1}{2}$ and $2$ .

$\frac{16.5 \sqrt{0.804984}}{{0.804984}^{\frac{2}{2}}}$

Step 3.6.4

Cancel the common factor of $2$ .

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Step 3.6.4.1

Cancel the common factor.

$\frac{16.5 \sqrt{0.804984}}{{0.804984}^{\frac{2}{2}}}$

Step 3.6.4.2

Rewrite the expression.

$\frac{16.5 \sqrt{0.804984}}{{0.804984}^{1}}$

Step 3.6.5

Evaluate the exponent.

$\frac{16.5 \sqrt{0.804984}}{0.804984}$

Step 4

Multiply $16.5$ by $\sqrt{0.804984}$ .

$\frac{14.80394859}{0.804984}$

Step 5

Divide $14.80394859$ by $0.804984$ .

$18.39036377$