Algebra Examples

$\frac{2^{6} \cdot 10^{18}}{2^{24} \cdot 25^{9}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $2^{6}$ and $2^{24}$ .

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Step 1.1.1

Factor $2^{6}$ out of $2^{6} \cdot 10^{18}$ .

$\frac{2^{6} (10^{18})}{2^{24} \cdot 25^{9}}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2^{6}$ out of $2^{24} \cdot 25^{9}$ .

$\frac{2^{6} (10^{18})}{2^{6} (2^{18} \cdot 25^{9})}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2^{6} \cdot 10^{18}}{2^{6} (2^{18} \cdot 25^{9})}$

Step 1.1.2.3

Rewrite the expression.

$\frac{10^{18}}{2^{18} \cdot 25^{9}}$

Step 1.2

Raise $10$ to the power of $18$ .

$\frac{1000000000000000000}{2^{18} \cdot 25^{9}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $2$ to the power of $18$ .

$\frac{1000000000000000000}{262144 \cdot 25^{9}}$

Step 2.2

Raise $25$ to the power of $9$ .

$\frac{1000000000000000000}{262144 \cdot 3814697265625}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $262144$ by $3814697265625$ .

$\frac{1000000000000000000}{1000000000000000000}$

Step 3.2

Divide $1000000000000000000$ by $1000000000000000000$ .

$1$