Finite Math Examples

$\frac{2.3 (0.3)}{\sqrt{4.1}}$

Step 1

Multiply $2.3$ by $0.3$ .

$\frac{0.69}{\sqrt{4.1}}$

Step 2

Multiply $\frac{0.69}{\sqrt{4.1}}$ by $\frac{\sqrt{4.1}}{\sqrt{4.1}}$ .

$\frac{0.69}{\sqrt{4.1}} \cdot \frac{\sqrt{4.1}}{\sqrt{4.1}}$

Step 3

Combine and simplify the denominator.

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Step 3.1

Multiply $\frac{0.69}{\sqrt{4.1}}$ by $\frac{\sqrt{4.1}}{\sqrt{4.1}}$ .

$\frac{0.69 \sqrt{4.1}}{\sqrt{4.1} \sqrt{4.1}}$

Step 3.2

Raise $\sqrt{4.1}$ to the power of $1$ .

$\frac{0.69 \sqrt{4.1}}{{\sqrt{4.1}}^{1} \sqrt{4.1}}$

Step 3.3

Raise $\sqrt{4.1}$ to the power of $1$ .

$\frac{0.69 \sqrt{4.1}}{{\sqrt{4.1}}^{1} {\sqrt{4.1}}^{1}}$

Step 3.4

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

$\frac{0.69 \sqrt{4.1}}{{\sqrt{4.1}}^{1 + 1}}$

Step 3.5

Add $1$ and $1$ .

$\frac{0.69 \sqrt{4.1}}{{\sqrt{4.1}}^{2}}$

Step 3.6

Rewrite ${\sqrt{4.1}}^{2}$ as $4.1$ .

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Step 3.6.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{4.1}$ as ${4.1}^{\frac{1}{2}}$ .

$\frac{0.69 \sqrt{4.1}}{{({4.1}^{\frac{1}{2}})}^{2}}$

Step 3.6.2

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

$\frac{0.69 \sqrt{4.1}}{{4.1}^{\frac{1}{2} \cdot 2}}$

Step 3.6.3

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

$\frac{0.69 \sqrt{4.1}}{{4.1}^{\frac{2}{2}}}$

Step 3.6.4

Cancel the common factor of $2$ .

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Step 3.6.4.1

Cancel the common factor.

$\frac{0.69 \sqrt{4.1}}{{4.1}^{\frac{2}{2}}}$

Step 3.6.4.2

Rewrite the expression.

$\frac{0.69 \sqrt{4.1}}{{4.1}^{1}}$

Step 3.6.5

Evaluate the exponent.

$\frac{0.69 \sqrt{4.1}}{4.1}$

Step 4

Multiply $0.69$ by $\sqrt{4.1}$ .

$\frac{1.39714351}{4.1}$

Step 5

Divide $1.39714351$ by $4.1$ .

$0.34076671$