Question

What is the product of -5x2y4 and -8x6y4?

Answer 1

product of 5x²y⁴ and -8x⁶y⁴ = 40x⁸y⁸

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

Answer 2

40 x⁸y⁸

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