Basic Math Examples

$5 u \cdot (7 u) \cdot (7 u^{7})$

Step 1

Remove unnecessary parentheses.

$5 u \cdot 7 u \cdot 7 u^{7}$

Step 2

Combine exponents.

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Step 2.1

Multiply $7$ by $5$ .

$35 u \cdot u \cdot 7 u^{7}$

Step 2.2

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

$35 (u^{1} u) \cdot 7 u^{7}$

Step 2.3

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

$35 (u^{1} u^{1}) \cdot 7 u^{7}$

Step 2.4

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

$35 u^{1 + 1} \cdot 7 u^{7}$

Step 2.5

Add $1$ and $1$ .

$35 u^{2} \cdot 7 u^{7}$

Step 2.6

Multiply $7$ by $35$ .

$245 u^{2} u^{7}$

Step 2.7

Multiply $u^{2}$ by $u^{7}$ by adding the exponents.

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Step 2.7.1

Move $u^{7}$ .

$245 (u^{7} u^{2})$

Step 2.7.2

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

$245 u^{7 + 2}$

Step 2.7.3

Add $7$ and $2$ .

$245 u^{9}$