Algebra Examples

$- 5 x^{7} \cdot x^{- 11} \cdot 2 x^{4}$

Step 1

Multiply $x^{7}$ by $x^{- 11}$ by adding the exponents.

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Step 1.1

Move $x^{- 11}$ .

$- 5 (x^{- 11} x^{7}) \cdot (2 x^{4})$

Step 1.2

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

$- 5 x^{- 11 + 7} \cdot (2 x^{4})$

Step 1.3

Add $- 11$ and $7$ .

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

Step 2

Rewrite using the commutative property of multiplication.

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

Step 3

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

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Step 3.1

Move $x^{4}$ .

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

Step 3.2

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

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

Step 3.3

Subtract $4$ from $4$ .

$- 5 \cdot 2 x^{0}$

Step 4

Simplify $- 5 \cdot 2 x^{0}$ .

$- 5 \cdot 2$

Step 5

Multiply $- 5$ by $2$ .

$- 10$