Basic Math Examples

${(5 y)}^{6} \cdot {(5 y)}^{8}$

Step 1

Multiply ${(5 y)}^{6}$ by ${(5 y)}^{8}$ 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.

${(5 y)}^{6 + 8}$

Step 1.2

Add $6$ and $8$ .

${(5 y)}^{14}$

Step 2

Apply the product rule to $5 y$ .

$5^{14} y^{14}$

Step 3

Raise $5$ to the power of $14$ .

$6103515625 y^{14}$