Write in Standard Form (-b^7)(7b^4)

$(- b^{7}) (7 b^{4})$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Rewrite using the commutative property of multiplication.

$- 1 \cdot 7 b^{7} b^{4}$

Step 3

Multiply $b^{7}$ by $b^{4}$ by adding the exponents.

Move $b^{4}$ .

$- 1 \cdot 7 (b^{4} b^{7})$

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

$- 1 \cdot 7 b^{4 + 7}$

Add $4$ and $7$ .

$- 1 \cdot 7 b^{11}$

Step 4

Multiply $- 1$ by $7$ .

$- 7 b^{11}$