Basic Math Examples

$\frac{{(6^{2})}^{5}}{6^{10}}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply the exponents in ${(6^{2})}^{5}$ .

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Step 1.1.1

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

$\frac{6^{2 \cdot 5}}{6^{10}}$

Step 1.1.2

Multiply $2$ by $5$ .

$\frac{6^{10}}{6^{10}}$

Step 1.2

Raise $6$ to the power of $10$ .

$\frac{60466176}{6^{10}}$

Step 2

Simplify the expression.

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Step 2.1

Raise $6$ to the power of $10$ .

$\frac{60466176}{60466176}$

Step 2.2

Divide $60466176$ by $60466176$ .

$1$