Question

What is the product?
(38b* )-822

Answer 1

`\boxed{\sf D)\:-24a^3b^7}`

Explanation:

`\sf (3a^2b^4)(-8ab^3)`

We'll use rule of exponents to simplify expression.

`\sf 3^1a^2b^4(-8)^1a^1b^3`

Now, use the commutative property of multiplication.

`\sf 3^1(-8)^1a^2a^2b^4b^4`

In order to multiply power of the same base, we add their exponents.

`\sf 3^2(-8)^1a^(2+1)b^(4+3)`

→ Add exponents:

`\sf 3^1(-8)^1a^3b^7`

→ Multiply 3* -8

`\sf -24a^3b^7`

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