Basic Math Examples

$\frac{{(\frac{7}{4})}^{6}}{16} a \cdot 6$

Step 1

Simplify the numerator.

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Step 1.1

Apply the product rule to $\frac{7}{4}$ .

$\frac{\frac{7^{6}}{4^{6}}}{16} a \cdot 6$

Step 1.2

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

$\frac{\frac{117649}{4^{6}}}{16} a \cdot 6$

Step 1.3

Raise $4$ to the power of $6$ .

$\frac{\frac{117649}{4096}}{16} a \cdot 6$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{117649}{4096} \cdot \frac{1}{16} a \cdot 6$

Step 3

Multiply $\frac{117649}{4096} \cdot \frac{1}{16}$ .

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Step 3.1

Multiply $\frac{117649}{4096}$ by $\frac{1}{16}$ .

$\frac{117649}{4096 \cdot 16} a \cdot 6$

Step 3.2

Multiply $4096$ by $16$ .

$\frac{117649}{65536} a \cdot 6$

Step 4

Combine $\frac{117649}{65536}$ and $a$ .

$\frac{117649 a}{65536} \cdot 6$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $65536$ .

$\frac{117649 a}{2 (32768)} \cdot 6$

Step 5.2

Factor $2$ out of $6$ .

$\frac{117649 a}{2 \cdot 32768} \cdot (2 \cdot 3)$

Step 5.3

Cancel the common factor.

$\frac{117649 a}{2 \cdot 32768} \cdot (2 \cdot 3)$

Step 5.4

Rewrite the expression.

$\frac{117649 a}{32768} \cdot 3$

Step 6

Combine $\frac{117649 a}{32768}$ and $3$ .

$\frac{117649 a \cdot 3}{32768}$

Step 7

Multiply $3$ by $117649$ .

$\frac{352947 a}{32768}$