Trigonometry Examples

$(5 x^{- 6}) (2 x^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$5 \cdot 2 x^{- 6} x^{4}$

Step 2

Multiply $x^{- 6}$ by $x^{4}$ by adding the exponents.

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Step 2.1

Move $x^{4}$ .

$5 \cdot 2 (x^{4} x^{- 6})$

Step 2.2

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

$5 \cdot 2 x^{4 - 6}$

Step 2.3

Subtract $6$ from $4$ .

$5 \cdot 2 x^{- 2}$

Step 3

Multiply $5$ by $2$ .

$10 x^{- 2}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$10 \frac{1}{x^{2}}$

Step 5

Combine $10$ and $\frac{1}{x^{2}}$ .

$\frac{10}{x^{2}}$