Question

2y*3y⁷u⁸*4u⁹ Simplify your answer as much as possible.

Answer 1

The expression 2y*3y⁷u⁸*4u⁹ simplifies to 24y⁸u¹⁷ by multiplying the coefficients and adding exponents of like bases.

Step-by-step explanation:

To simplify the algebraic expression 2y*3y⁷u⁸*4u⁹, we will use the properties of exponents and multiplication.

First, multiply the numerical coefficients together: 2 * 3 * 4 = 24.

For the variables with exponents, remember that when you multiply with the same base, you add the exponents:
so for y, we have y¹ * y⁷ = y⁸ (1 + 7 = 8).

For the u terms, u⁸ * u⁹ = u¹⁷ (8 + 9 = 17).

Putting it all together gives us 24y⁸u¹⁷ as the simplified form of the expression.