Question

MuItiply. 2y² *2x *7x³y⁹ Simplify your answer as much as possible

Answer 1

The multiplication of
`2y² * 2x * 7x³y⁹` simplifies to
`28x⁴y¹¹`, using the properties of exponents and coefficients.

Step-by-step explanation:

To multiply the given algebraic expressions, we can use the properties of exponents and coefficients.

The given expression is
`2y² * 2x * 7x³y⁹`. We start by multiplying the coefficients (numbers in front of variables) together and then applying the rule of exponents, which states that when multiplying two powers that have the same base, you add the exponents.

We can break this down further:

First, multiply the coefficients:
`2 * 2 * 7 = 28`

Next, we multiply the variables with the same base by adding their exponents:
`x¹ * x³ = x⁴` and
`y² * y⁹ = y¹¹`

Combine everything together we get our simplified expression:
`28x⁴y¹¹`

This answer is already in its simplified form, and no further simplification is possible.