Respuesta :

Answer:

40 x⁸y⁸

Step-by-step explanation:

When multiplying numbers that have powers to the same base, we simply add the indices and multiply the coefficients of the common bases.

To solve -5x²y⁴ multiplied by -8x⁶y⁴, we add the indices that have a common base.

-5x²y⁴× -8x⁶y⁴= (-5)(-8)x⁽²⁺⁶⁾y⁽⁴⁺⁴⁾

=40x⁸y⁸

A negative number multiplied by a negative= positive number

Answer:

product of 5x²y⁴ and -8x⁶y⁴ = 40x⁸y⁸

Step-by-step explanation:

Points to remember

Identities

Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾

Xᵃ/Xᵇ =  X⁽ᵃ ⁻ ᵇ⁾

It is given that, -5x²y⁴ and -8x⁶y⁴

To find the product of  -5x²y⁴ and -8x⁶y⁴

( -5x²y⁴ ) * ( -8x⁶y⁴) = (-5 * -8) *x² *x⁶ * y⁴ * y⁴

 = 40 * x⁽² ⁺ ⁶⁾ * y⁽⁴ ⁺ ⁴⁾

 = 40 * x⁸ * y⁸

 = 40x⁸y⁸