Algebra Examples

$(\frac{2 x^{0}}{4 x^{- 2} y^{4}})$

Step 1

Remove parentheses.

$\frac{2 x^{0}}{4 x^{- 2} y^{4}}$

Step 2

Move $x^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{2 x^{0} x^{2}}{4 y^{4}}$

Step 3

Multiply $x^{0}$ by $x^{2}$ by adding the exponents.

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Step 3.1

Move $x^{2}$ .

$\frac{2 (x^{2} x^{0})}{4 y^{4}}$

Step 3.2

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

$\frac{2 x^{2 + 0}}{4 y^{4}}$

Step 3.3

Add $2$ and $0$ .

$\frac{2 x^{2}}{4 y^{4}}$

Step 4

Cancel the common factor of $2$ and $4$ .

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Step 4.1

Factor $2$ out of $2 x^{2}$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $4 y^{4}$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{x^{2}}{2 y^{4}}$