Question

А ) 2а^3×(-0,5а) Б) 0, 5х ^2у×(-ху) В ) -4х^4у^2×1,5х^2у^4

Answer 1

а) 2a³*(-0,5a)= -a⁴

б) 0,5x²y*(-xy)= -0,5x³y²

в) -4x⁴y²*1,5x²y⁴= -6x⁶y⁶

Answer 2

A) To simplify the expression 2a^3 × (-0.5a), we can multiply the coefficients and add the exponents:

2 × (-0.5) = -1

a^3 × a = a^(3+1) = a^4

Therefore, the simplified expression is -a^4.

B) For the expression 0.5x^2y × (-xy), we can multiply the coefficients and add the exponents:

0.5 × (-1) = -0.5

x^2 × x = x^(2+1) = x^3

y × y = y^(1+1) = y^2

Thus, the simplified expression is -0.5x^3y^2.

C) Lastly, for -4x^4y^2 × 1.5x^2y^4, we can multiply the coefficients and add the exponents:

-4 × 1.5 = -6

x^4 × x^2 = x^(4+2) = x^6

y^2 × y^4 = y^(2+4) = y^6

The simplified expression is -6x^6y^6.