Choose the correct simplification of the expression (xyz²)⁴.
x5y5z6, x5y5z8, xyz16, x4y4z8

Solution

Given expression is (xyz²)⁴

Using the law of exponents, we know that (a^m)ⁿ = a ^{m × n}

= (x)⁴(y)⁴(z²)⁴

= x⁴y⁴z⁸

Another example can be: Choose the correct simplification of the expression (x⁵y⁶z⁴)³

The above expression can be simplified as:

= (x⁵)³(y⁶)³(z⁴)³

= x¹⁵y¹⁸z¹²

Choose the correct simplification of the expression (xyz²)⁴.

Summary:

The correct simplification of the expression (xyz²)⁴ is x⁴y⁴z⁸