Basic Math Examples

$y \cdot y^{4} \cdot y^{5} \cdot y^{7} \cdot y^{9}$

Step 1

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

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Step 1.1

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

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Step 1.1.1

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

$y^{1} \cdot y^{4} \cdot y^{5} \cdot y^{7} \cdot y^{9}$

Step 1.1.2

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

$y^{1 + 4} \cdot y^{5} \cdot y^{7} \cdot y^{9}$

Step 1.2

Add $1$ and $4$ .

$y^{5} \cdot y^{5} \cdot y^{7} \cdot y^{9}$

Step 2

Multiply $y^{5}$ by $y^{5}$ by adding the exponents.

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Step 2.1

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

$y^{5 + 5} \cdot y^{7} \cdot y^{9}$

Step 2.2

Add $5$ and $5$ .

$y^{10} \cdot y^{7} \cdot y^{9}$

Step 3

Multiply $y^{10}$ by $y^{7}$ by adding the exponents.

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Step 3.1

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

$y^{10 + 7} \cdot y^{9}$

Step 3.2

Add $10$ and $7$ .

$y^{17} \cdot y^{9}$

Step 4

Multiply $y^{17}$ by $y^{9}$ 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.

$y^{17 + 9}$

Step 4.2

Add $17$ and $9$ .

$y^{26}$