Basic Math Examples

$11.4 - 2.576 \cdot \frac{16.6}{\sqrt{1019}}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Multiply $\frac{16.6}{\sqrt{1019}}$ by $\frac{\sqrt{1019}}{\sqrt{1019}}$ .

$11.4 - 2.576 \cdot (\frac{16.6}{\sqrt{1019}} \cdot \frac{\sqrt{1019}}{\sqrt{1019}})$

Step 1.2

Combine and simplify the denominator.

Tap for more steps...

Step 1.2.1

Multiply $\frac{16.6}{\sqrt{1019}}$ by $\frac{\sqrt{1019}}{\sqrt{1019}}$ .

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{\sqrt{1019} \sqrt{1019}}$

Step 1.2.2

Raise $\sqrt{1019}$ to the power of $1$ .

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{{\sqrt{1019}}^{1} \sqrt{1019}}$

Step 1.2.3

Raise $\sqrt{1019}$ to the power of $1$ .

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{{\sqrt{1019}}^{1} {\sqrt{1019}}^{1}}$

Step 1.2.4

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

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{{\sqrt{1019}}^{1 + 1}}$

Step 1.2.5

Add $1$ and $1$ .

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{{\sqrt{1019}}^{2}}$

Step 1.2.6

Rewrite ${\sqrt{1019}}^{2}$ as $1019$ .

Tap for more steps...

Step 1.2.6.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{1019}$ as $1019^{\frac{1}{2}}$ .

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{{(1019^{\frac{1}{2}})}^{2}}$

Step 1.2.6.2

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

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{1019^{\frac{1}{2} \cdot 2}}$

Step 1.2.6.3

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

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{1019^{\frac{2}{2}}}$

Step 1.2.6.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.2.6.4.1

Cancel the common factor.

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{1019^{\frac{2}{2}}}$

Step 1.2.6.4.2

Rewrite the expression.

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{1019^{1}}$

Step 1.2.6.5

Evaluate the exponent.

$11.4 - 2.576 \cdot \frac{16.6 \sqrt{1019}}{1019}$

Step 1.3

Multiply $16.6$ by $\sqrt{1019}$ .

$11.4 - 2.576 \cdot \frac{529.90153802}{1019}$

Step 1.4

Divide $529.90153802$ by $1019$ .

$11.4 - 2.576 \cdot 0.52002113$

Step 1.5

Multiply $- 2.576$ by $0.52002113$ .

$11.4 - 1.33957444$

Step 2

Subtract $1.33957444$ from $11.4$ .

$10.06042555$