Trigonometry Examples

$(\frac{g \cdot 4}{7}) (g^{\frac{3}{7}})$

Step 1

Move $4$ to the left of $g$ .

$\frac{4 \cdot g}{7} g^{\frac{3}{7}}$

Step 2

Multiply $\frac{4 g}{7} g^{\frac{3}{7}}$ .

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Step 2.1

Combine $\frac{4 g}{7}$ and $g^{\frac{3}{7}}$ .

$\frac{4 g \cdot g^{\frac{3}{7}}}{7}$

Step 2.2

Multiply $g$ by $g^{\frac{3}{7}}$ by adding the exponents.

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Step 2.2.1

Move $g^{\frac{3}{7}}$ .

$\frac{4 (g^{\frac{3}{7}} g)}{7}$

Step 2.2.2

Multiply $g^{\frac{3}{7}}$ by $g$ .

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Step 2.2.2.1

Raise $g$ to the power of $1$ .

$\frac{4 (g^{\frac{3}{7}} g^{1})}{7}$

Step 2.2.2.2

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

$\frac{4 g^{\frac{3}{7} + 1}}{7}$

Step 2.2.3

Write $1$ as a fraction with a common denominator.

$\frac{4 g^{\frac{3}{7} + \frac{7}{7}}}{7}$

Step 2.2.4

Combine the numerators over the common denominator.

$\frac{4 g^{\frac{3 + 7}{7}}}{7}$

Step 2.2.5

Add $3$ and $7$ .

$\frac{4 g^{\frac{10}{7}}}{7}$