Trigonometry Examples

$\sqrt{10 x} \sqrt{10 x}$

Step 1

Multiply $\sqrt{10 x} \sqrt{10 x}$ .

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Step 1.1

Raise $\sqrt{10 x}$ to the power of $1$ .

${\sqrt{10 x}}^{1} \sqrt{10 x}$

Step 1.2

Raise $\sqrt{10 x}$ to the power of $1$ .

${\sqrt{10 x}}^{1} {\sqrt{10 x}}^{1}$

Step 1.3

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

${\sqrt{10 x}}^{1 + 1}$

Step 1.4

Add $1$ and $1$ .

${\sqrt{10 x}}^{2}$

Step 2

Rewrite ${\sqrt{10 x}}^{2}$ as $10 x$ .

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Step 2.1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{10 x}$ as ${(10 x)}^{\frac{1}{2}}$ .

${({(10 x)}^{\frac{1}{2}})}^{2}$

Step 2.2

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

${(10 x)}^{\frac{1}{2} \cdot 2}$

Step 2.3

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

${(10 x)}^{\frac{2}{2}}$

Step 2.4

Cancel the common factor of $2$ .

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Step 2.4.1

Cancel the common factor.

${(10 x)}^{\frac{2}{2}}$

Step 2.4.2

Rewrite the expression.

${(10 x)}^{1}$

Step 2.5

Simplify.

$10 x$