Basic Math Examples

$(\frac{x^{5} y^{- 3} z^{- 4}}{y^{- 1} z})$

Step 1

Remove parentheses.

$\frac{x^{5} y^{- 3} z^{- 4}}{y^{- 1} z}$

Step 2

Move $y^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{x^{5} z^{- 4}}{y^{- 1} z y^{3}}$

Step 3

Move $z^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{x^{5}}{y^{- 1} z y^{3} z^{4}}$

Step 4

Simplify the denominator.

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Step 4.1

Multiply $y^{- 1}$ by $y^{3}$ by adding the exponents.

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Step 4.1.1

Move $y^{3}$ .

$\frac{x^{5}}{y^{3} y^{- 1} z \cdot z^{4}}$

Step 4.1.2

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

$\frac{x^{5}}{y^{3 - 1} z \cdot z^{4}}$

Step 4.1.3

Subtract $1$ from $3$ .

$\frac{x^{5}}{y^{2} z \cdot z^{4}}$

Step 4.2

Multiply $z$ by $z^{4}$ by adding the exponents.

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Step 4.2.1

Move $z^{4}$ .

$\frac{x^{5}}{y^{2} (z^{4} z)}$

Step 4.2.2

Multiply $z^{4}$ by $z$ .

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Step 4.2.2.1

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

$\frac{x^{5}}{y^{2} (z^{4} z^{1})}$

Step 4.2.2.2

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

$\frac{x^{5}}{y^{2} z^{4 + 1}}$

Step 4.2.3

Add $4$ and $1$ .

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