Question

Hello!. I was wondering who could give me the answer to this question w an explanation If its not much to ask for, have a great nigth or have a great day.​

Answer 1

1. (3x²y³z)²=9x⁴y⁶z²

2. (2m³n⁻⁴)³=8m⁹n⁻¹²

Explanation:

Both questions require knowledge of two rules of indices/powers:

(xy)ᵃ=xᵃyᵃ (when numbers multiplied by each other are put to a power, that is equal to the product of each number to that power)

(xᵃ)ᵇ=xᵃᵇ (when a number to a power is put to another power, that is equal to the number to the power of the product of the powers)

1.

(3x²y³z)²

=(3²)(x²)²(y³)²(z²)

=(9)(x²⁽²⁾)(y³⁽²⁾)(z²)

=9x⁴y⁶z²

2.

(2m³n⁻⁴)³

=(2³)(m³)³(n⁻⁴)³

=(8)(m³⁽³⁾)(n⁻⁴⁽³⁾)

=8m⁹n⁻¹²

Hope this helps! :D