Question

1)4x×(-3yz), 2)a³(-b²)a⁵, 3)-2.5x³×0.2x²y⁴×(-2x)

Answer 1

Ответ:

Объяснение:

1)4x×(-3yz)=-12xyz

2)a³(-b²)a⁵=-a³b²a⁵=-a^8b²

-2.5x³×0.2x²y⁴×(-2x)=x^10   ( -2.5×0.2×(-2)=1; x³×x²y⁴×x=x^(3+2+4+1)=x^10

Answer 2

Let's simplify each of the given expressions:

1. 4x × (-3yz) To simplify this expression, we can use the distributive property of multiplication over addition/subtraction, which states that a(b + c) = ab + ac.

= 4x × (-3) × y × z (Since -3yz = -3 × y × z) = -12xyz

2. a³(-b²)a⁵ To simplify this expression, we can use the rules of exponents, which state that a^m × a^n = a^(m + n).

= a^(3 + 5) × (-b²) (Since a³a⁵ = a^(3 + 5)) = a^8 × (-b²)

So, the simplified expression is -a^8b².

3. -2.5x³ × 0.2x²y⁴ × (-2x) To simplify this expression, we can first combine the constants and then apply the rules of exponents.

= (-2.5 × 0.2 × (-2)) × x^(3 + 2 + 1) × y⁴ (Combining the constants, and applying x³ × x² × x¹ = x^(3 + 2 + 1)) = (1) × x^6 × y⁴ (Since (-2.5 × 0.2 × (-2)) = 1) = x^6y⁴

So, the simplified expression is x^6y⁴.