Question

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

Answer 1

Answer:

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

Step-by-step 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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