Question

Multiply. Your answer should be a monomial in standard form. (y⁸)(-2y²)

a) -2y¹⁰
b) -4y¹⁰
c) -2y¹⁶
d) -4y¹⁶

Answer 1

In multiplying the monomials (y⁸)(-2y²), you add the exponents (8+2) and keep the coefficient (-2), resulting in the monomial -2y²⁰.

Step-by-step explanation:

To multiply the given monomials (y⁸)(-2y²), you apply the laws of exponents, which state that when you multiply two powers with the same base, you add the exponents. So, you would add the exponent of the first term (8) to the exponent of the second term (2), and keep the coefficient from the second term (-2).

The multiplication process would look like this:

-2 × y⁸ × y² = -2 × y²⁰

Thus, the resulting monomial in standard form is -2y²⁰.