Algebra Examples

$y^{- 8} y^{3} x^{0} x^{- 2}$

Step 1

Multiply $y^{- 8}$ by $y^{3}$ by adding the exponents.

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Step 1.1

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

$y^{- 8 + 3} x^{0} x^{- 2}$

Step 1.2

Add $- 8$ and $3$ .

$y^{- 5} x^{0} x^{- 2}$

Step 2

Simplify $y^{- 5} x^{0} x^{- 2}$ .

$y^{- 5} x^{- 2}$

Step 3

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

$\frac{1}{y^{5}} x^{- 2}$

Step 4

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

$\frac{1}{y^{5}} \cdot \frac{1}{x^{2}}$

Step 5

Combine.

$\frac{1 \cdot 1}{y^{5} x^{2}}$

Step 6

Multiply $1$ by $1$ .

$\frac{1}{y^{5} x^{2}}$