Simplify -5y^25y^25y^2*5y^2

$- 5 y^{2} \cdot 5 y^{2} \cdot 5 y^{2} \cdot 5 y^{2}$

Step 1

Multiply $y^{2}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$- 5 (y^{2} y^{2}) \cdot 5 \cdot (5 y^{2}) \cdot (5 y^{2})$

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

$- 5 y^{2 + 2} \cdot 5 \cdot (5 y^{2}) \cdot (5 y^{2})$

Add $2$ and $2$ .

$- 5 y^{4} \cdot 5 \cdot (5 y^{2}) \cdot (5 y^{2})$

Step 2

Multiply $y^{4}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$- 5 (y^{2} y^{4}) \cdot 5 \cdot 5 \cdot (5 y^{2})$

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

$- 5 y^{2 + 4} \cdot 5 \cdot 5 \cdot (5 y^{2})$

Add $2$ and $4$ .

$- 5 y^{6} \cdot 5 \cdot 5 \cdot (5 y^{2})$

Step 3

Multiply $y^{6}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$- 5 (y^{2} y^{6}) \cdot 5 \cdot 5 \cdot 5$

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

$- 5 y^{2 + 6} \cdot 5 \cdot 5 \cdot 5$

Add $2$ and $6$ .

$- 5 y^{8} \cdot 5 \cdot 5 \cdot 5$

Step 4

Multiply $5$ by $- 5$ .

$- 25 y^{8} \cdot 5 \cdot 5$

Step 5

Multiply $5$ by $- 25$ .

$- 125 y^{8} \cdot 5$

Step 6

Multiply $5$ by $- 125$ .

$- 625 y^{8}$

Simplify -5y^2*5y^2*5y^2*5y^2