Basic Math Examples

$\frac{\sqrt{{1.3}^{3}} \cdot \sqrt{{1.3}^{2}}}{\sqrt[6]{1.3}}$

Step 1

Simplify the numerator.

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Step 1.1

Combine using the product rule for radicals.

$\frac{\sqrt{{1.3}^{3} \cdot {1.3}^{2}}}{\sqrt[6]{1.3}}$

Step 1.2

Multiply ${1.3}^{3}$ by ${1.3}^{2}$ by adding the exponents.

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Step 1.2.1

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

$\frac{\sqrt{{1.3}^{3 + 2}}}{\sqrt[6]{1.3}}$

Step 1.2.2

Add $3$ and $2$ .

$\frac{\sqrt{{1.3}^{5}}}{\sqrt[6]{1.3}}$

Step 2

Raise $1.3$ to the power of $5$ .

$\frac{\sqrt{3.71293}}{\sqrt[6]{1.3}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3.71293}}{\sqrt[6]{1.3}}$

Decimal Form:

$1.84445397 \dots$