Basic Math Examples

$\frac{{(392)}^{2} \cdot 49^{3}}{\frac{1}{49} \cdot (49^{6}) \cdot 64}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $49^{3}$ and $49^{6}$ .

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Step 1.1.1

Factor $49^{3}$ out of ${(392)}^{2} \cdot 49^{3}$ .

$\frac{49^{3} \cdot {(392)}^{2}}{\frac{1}{49} \cdot (49^{6}) \cdot 64}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $49^{3}$ out of $\frac{1}{49} \cdot (49^{6}) \cdot 64$ .

$\frac{49^{3} \cdot {(392)}^{2}}{49^{3} (\frac{1}{49} \cdot (49^{3}) \cdot 64)}$

Step 1.1.2.2

Cancel the common factor.

$\frac{49^{3} \cdot {(392)}^{2}}{49^{3} (\frac{1}{49} \cdot (49^{3}) \cdot 64)}$

Step 1.1.2.3

Rewrite the expression.

$\frac{{(392)}^{2}}{\frac{1}{49} \cdot (49^{3}) \cdot 64}$

Step 1.2

Raise $392$ to the power of $2$ .

$\frac{153664}{\frac{1}{49} \cdot 49^{3} \cdot 64}$

Step 2

Simplify the denominator.

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Step 2.1

Combine $\frac{1}{49}$ and $49^{3}$ .

$\frac{153664}{\frac{49^{3}}{49} \cdot 64}$

Step 2.2

Combine $\frac{49^{3}}{49}$ and $64$ .

$\frac{153664}{\frac{49^{3} \cdot 64}{49}}$

Step 3

Simplify the expression.

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Step 3.1

Raise $49$ to the power of $3$ .

$\frac{153664}{\frac{117649 \cdot 64}{49}}$

Step 3.2

Multiply $117649$ by $64$ .

$\frac{153664}{\frac{7529536}{49}}$

Step 3.3

Divide $7529536$ by $49$ .

$\frac{153664}{153664}$

Step 3.4

Divide $153664$ by $153664$ .

$1$