Basic Math Examples

$2 v^{- 4} n^{- 9} \cdot (2 n^{9} u) \cdot (6 v^{- 5} u^{- 1})$

Step 1

Multiply $v^{- 4}$ by $v^{- 5}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $v^{- 5}$ .

$2 (v^{- 5} v^{- 4}) n^{- 9} \cdot (2 n^{9} u) \cdot (6 u^{- 1})$

Step 1.2

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

$2 v^{- 5 - 4} n^{- 9} \cdot (2 n^{9} u) \cdot (6 u^{- 1})$

Step 1.3

Subtract $4$ from $- 5$ .

$2 v^{- 9} n^{- 9} \cdot (2 n^{9} u) \cdot (6 u^{- 1})$

Step 2

Multiply $n^{- 9}$ by $n^{9}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $n^{9}$ .

$2 v^{- 9} (n^{9} n^{- 9}) \cdot (2 u) \cdot (6 u^{- 1})$

Step 2.2

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

$2 v^{- 9} n^{9 - 9} \cdot (2 u) \cdot (6 u^{- 1})$

Step 2.3

Subtract $9$ from $9$ .

$2 v^{- 9} n^{0} \cdot (2 u) \cdot (6 u^{- 1})$

Step 3

Simplify $2 v^{- 9} n^{0} \cdot (2 u) \cdot (6 u^{- 1})$ .

$2 v^{- 9} \cdot (2 u) \cdot (6 u^{- 1})$

Step 4

Multiply $u$ by $u^{- 1}$ by adding the exponents.

Tap for more steps...

Step 4.1

Move $u^{- 1}$ .

$2 v^{- 9} \cdot (2 (u^{- 1} u)) \cdot 6$

Step 4.2

Multiply $u^{- 1}$ by $u$ .

Tap for more steps...

Step 4.2.1

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

$2 v^{- 9} \cdot (2 (u^{- 1} u^{1})) \cdot 6$

Step 4.2.2

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

$2 v^{- 9} \cdot (2 u^{- 1 + 1}) \cdot 6$

Step 4.3

Add $- 1$ and $1$ .

$2 v^{- 9} \cdot (2 u^{0}) \cdot 6$

Step 5

Simplify $2 v^{- 9} \cdot (2 u^{0}) \cdot 6$ .

$2 v^{- 9} \cdot 2 \cdot 6$

Step 6

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$2 \frac{1}{v^{9}} \cdot 2 \cdot 6$

Step 7

Combine $2$ and $\frac{1}{v^{9}}$ .

$\frac{2}{v^{9}} \cdot 2 \cdot 6$

Step 8

Multiply $\frac{2}{v^{9}} \cdot 2$ .

Tap for more steps...

Step 8.1

Combine $\frac{2}{v^{9}}$ and $2$ .

$\frac{2 \cdot 2}{v^{9}} \cdot 6$

Step 8.2

Multiply $2$ by $2$ .

$\frac{4}{v^{9}} \cdot 6$

Step 9

Multiply $\frac{4}{v^{9}} \cdot 6$ .

Tap for more steps...

Step 9.1

Combine $\frac{4}{v^{9}}$ and $6$ .

$\frac{4 \cdot 6}{v^{9}}$

Step 9.2

Multiply $4$ by $6$ .

$\frac{24}{v^{9}}$