Finite Math Examples

$6 v^{- 7} v^{8} u^{4} \cdot (8 u y^{- 6 \cdot 2^{4}})$

Step 1

Multiply $v^{- 7}$ by $v^{8}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $v^{8}$ .

$6 (v^{8} v^{- 7}) u^{4} \cdot (8 u y^{- 6 \cdot 2^{4}})$

Step 1.2

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

$6 v^{8 - 7} u^{4} \cdot (8 u y^{- 6 \cdot 2^{4}})$

Step 1.3

Subtract $7$ from $8$ .

$6 v^{1} u^{4} \cdot (8 u y^{- 6 \cdot 2^{4}})$

Step 2

Simplify $6 v^{1} u^{4} \cdot (8 u y^{- 6 \cdot 2^{4}})$ .

$6 v u^{4} \cdot (8 u y^{- 6 \cdot 2^{4}})$

Step 3

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

Tap for more steps...

Step 3.1

Move $u$ .

$6 v (u \cdot u^{4}) \cdot (8 y^{- 6 \cdot 2^{4}})$

Step 3.2

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

Tap for more steps...

Step 3.2.1

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

$6 v (u^{1} u^{4}) \cdot (8 y^{- 6 \cdot 2^{4}})$

Step 3.2.2

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

$6 v u^{1 + 4} \cdot (8 y^{- 6 \cdot 2^{4}})$

Step 3.3

Add $1$ and $4$ .

$6 v u^{5} \cdot (8 y^{- 6 \cdot 2^{4}})$

Step 4

Raise $2$ to the power of $4$ .

$6 v u^{5} \cdot (8 y^{- 6 \cdot 16})$

Step 5

Multiply $- 6$ by $16$ .

$6 v u^{5} \cdot (8 y^{- 96})$

Step 6

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

$6 v u^{5} \cdot (8 \frac{1}{y^{96}})$

Step 7

Combine $8$ and $\frac{1}{y^{96}}$ .

$6 v u^{5} \cdot \frac{8}{y^{96}}$

Step 8

Multiply $6 v u^{5} \frac{8}{y^{96}}$ .

Tap for more steps...

Step 8.1

Combine $6$ and $\frac{8}{y^{96}}$ .

$v u^{5} \frac{6 \cdot 8}{y^{96}}$

Step 8.2

Multiply $6$ by $8$ .

$v u^{5} \frac{48}{y^{96}}$

Step 8.3

Combine $v$ and $\frac{48}{y^{96}}$ .

$u^{5} \frac{v \cdot 48}{y^{96}}$

Step 8.4

Combine $u^{5}$ and $\frac{v \cdot 48}{y^{96}}$ .

$\frac{u^{5} (v \cdot 48)}{y^{96}}$

Step 9

Move $48$ to the left of $u^{5} v$ .

$\frac{48 u^{5} v}{y^{96}}$