Basic Math Examples

$\frac{2^{- 1} y^{6}}{2^{2} y^{- 4}}$

Step 1

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

$\frac{y^{6}}{2^{2} y^{- 4} \cdot 2}$

Step 2

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

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Step 2.1

Move $2$ .

$\frac{y^{6}}{2 \cdot 2^{2} y^{- 4}}$

Step 2.2

Multiply $2$ by $2^{2}$ .

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Step 2.2.1

Raise $2$ to the power of $1$ .

$\frac{y^{6}}{2^{1} \cdot 2^{2} y^{- 4}}$

Step 2.2.2

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

$\frac{y^{6}}{2^{1 + 2} y^{- 4}}$

Step 2.3

Add $1$ and $2$ .

$\frac{y^{6}}{2^{3} y^{- 4}}$

Step 3

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

$\frac{y^{6} y^{4}}{2^{3}}$

Step 4

Multiply $y^{6}$ by $y^{4}$ by adding the exponents.

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Step 4.1

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

$\frac{y^{6 + 4}}{2^{3}}$

Step 4.2

Add $6$ and $4$ .

$\frac{y^{10}}{2^{3}}$

Step 5

Raise $2$ to the power of $3$ .

$\frac{y^{10}}{8}$