Basic Math Examples

$\frac{- y}{y^{- 10}} \cdot (- 2 y)$

Step 1

Rewrite using the commutative property of multiplication.

$- 2 \frac{- y}{y^{- 10}} y$

Step 2

Move $y^{- 10}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$- 2 (- y \cdot y^{10}) y$

Step 3

Multiply $y$ by $y^{10}$ by adding the exponents.

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Step 3.1

Move $y^{10}$ .

$- 2 (- (y^{10} y)) y$

Step 3.2

Multiply $y^{10}$ by $y$ .

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Step 3.2.1

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

$- 2 (- (y^{10} y^{1})) y$

Step 3.2.2

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

$- 2 (- y^{10 + 1}) y$

Step 3.3

Add $10$ and $1$ .

$- 2 (- y^{11}) y$

Step 4

Multiply $y^{11}$ by $y$ by adding the exponents.

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Step 4.1

Move $y$ .

$- 2 (- (y \cdot y^{11}))$

Step 4.2

Multiply $y$ by $y^{11}$ .

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Step 4.2.1

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

$- 2 (- (y^{1} y^{11}))$

Step 4.2.2

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

$- 2 (- y^{1 + 11})$

Step 4.3

Add $1$ and $11$ .

$- 2 (- y^{12})$

Step 5

Multiply $- 1$ by $- 2$ .

$2 y^{12}$