Basic Math Examples

$\frac{35^{6} \cdot 42^{4}}{5^{2} \cdot 7^{6} \cdot 32^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $35$ to the power of $6$ .

$\frac{1838265625 \cdot 42^{4}}{5^{2} \cdot 7^{6} \cdot 32^{2}}$

Step 1.2

Raise $42$ to the power of $4$ .

$\frac{1838265625 \cdot 3111696}{5^{2} \cdot 7^{6} \cdot 32^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $5$ to the power of $2$ .

$\frac{1838265625 \cdot 3111696}{25 \cdot 7^{6} \cdot 32^{2}}$

Step 2.2

Raise $7$ to the power of $6$ .

$\frac{1838265625 \cdot 3111696}{25 \cdot 117649 \cdot 32^{2}}$

Step 2.3

Raise $32$ to the power of $2$ .

$\frac{1838265625 \cdot 3111696}{25 \cdot 117649 \cdot 1024}$

Step 2.4

Combine exponents.

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Step 2.4.1

Multiply $25$ by $117649$ .

$\frac{1838265625 \cdot 3111696}{2941225 \cdot 1024}$

Step 2.4.2

Multiply $2941225$ by $1024$ .

$\frac{1838265625 \cdot 3111696}{3011814400}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $1838265625$ by $3111696$ .

$\frac{5720123792250000}{3011814400}$

Step 3.2

Cancel the common factor of $5720123792250000$ and $3011814400$ .

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Step 3.2.1

Factor $47059600$ out of $5720123792250000$ .

$\frac{47059600 (121550625)}{3011814400}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $47059600$ out of $3011814400$ .

$\frac{47059600 \cdot 121550625}{47059600 \cdot 64}$

Step 3.2.2.2

Cancel the common factor.

$\frac{47059600 \cdot 121550625}{47059600 \cdot 64}$

Step 3.2.2.3

Rewrite the expression.

$\frac{121550625}{64}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{121550625}{64}$

Decimal Form:

$1899228.515625$

Mixed Number Form:

$1899228 \frac{33}{64}$