Add 6/(5x^8)+4/(3x^6)

$\frac{6}{5 x^{8}} + \frac{4}{3 x^{6}}$

To write $\frac{6}{5 x^{8}}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{6}{5 x^{8}} \cdot \frac{3}{3} + \frac{4}{3 x^{6}}$

To write $\frac{4}{3 x^{6}}$ as a fraction with a common denominator, multiply by $\frac{5 x^{2}}{5 x^{2}}$ .

$\frac{6}{5 x^{8}} \cdot \frac{3}{3} + \frac{4}{3 x^{6}} \cdot \frac{5 x^{2}}{5 x^{2}}$

Write each expression with a common denominator of $15 x^{8}$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{6}{5 x^{8}}$ and $\frac{3}{3}$ .

$\frac{6 \cdot 3}{5 x^{8} \cdot 3} + \frac{4}{3 x^{6}} \cdot \frac{5 x^{2}}{5 x^{2}}$

Multiply $3$ by $5$ .

$\frac{6 \cdot 3}{15 x^{8}} + \frac{4}{3 x^{6}} \cdot \frac{5 x^{2}}{5 x^{2}}$

Multiply $\frac{4}{3 x^{6}}$ and $\frac{5 x^{2}}{5 x^{2}}$ .

$\frac{6 \cdot 3}{15 x^{8}} + \frac{4 (5 x^{2})}{3 x^{6} (5 x^{2})}$

Multiply $5$ by $3$ .

$\frac{6 \cdot 3}{15 x^{8}} + \frac{4 (5 x^{2})}{15 x^{6} x^{2}}$

Multiply $x^{6}$ by $x^{2}$ by adding the exponents.

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Move $x^{2}$ .

$\frac{6 \cdot 3}{15 x^{8}} + \frac{4 (5 x^{2})}{15 (x^{2} x^{6})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6 \cdot 3}{15 x^{8}} + \frac{4 (5 x^{2})}{15 x^{2 + 6}}$

Add $2$ and $6$ .

$\frac{6 \cdot 3}{15 x^{8}} + \frac{4 (5 x^{2})}{15 x^{8}}$

Combine the numerators over the common denominator.

$\frac{6 \cdot 3 + 4 (5 x^{2})}{15 x^{8}}$

Simplify the numerator.

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Factor $2$ out of $6 \cdot 3 + 4 (5 x^{2})$ .

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Factor $2$ out of $6 \cdot 3$ .

$\frac{2 (3 \cdot 3) + 4 (5 x^{2})}{15 x^{8}}$

Factor $2$ out of $4 (5 x^{2})$ .

$\frac{2 (3 \cdot 3) + 2 (2 (5 x^{2}))}{15 x^{8}}$

Factor $2$ out of $2 (3 \cdot 3) + 2 (2 (5 x^{2}))$ .

$\frac{2 (3 \cdot 3 + 2 (5 x^{2}))}{15 x^{8}}$

Multiply $3$ by $3$ .

$\frac{2 (9 + 2 (5 x^{2}))}{15 x^{8}}$

Multiply $5$ by $2$ .

$\frac{2 (9 + 10 x^{2})}{15 x^{8}}$

Add 6/(5x^8)+4/(3x^6)

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