To simplify the expression, we first need to understand that when we have an expression of the form (a^m)^n, it simplifies to a^(m*n).

So, (𝑥𝑦𝑧^2)^2 simplifies to x^2*y^2*z^4.

Now, we multiply this with the original expression 5𝑥^2𝑦^2𝑧^4.

When we multiply terms with the same base, we add the exponents.

So, 5𝑥^2𝑦^2𝑧^4 * x^2*y^2*z^4 simplifies to 5x^4*y^4*z^8.

So, the simplified expression is 5x^4*y^4*z^8.

Question

To simplify the expression, we first need to understand that when we have an expression of the form (a^m)^n, it simplifies to a^(m*n).

So, (𝑥𝑦𝑧^2)^2 simplifies to x^2*y^2*z^4.

Now, we multiply this with the original expression 5𝑥^2𝑦^2𝑧^4.

When we multiply terms with the same base, we add the exponents.

So, 5𝑥^2𝑦^2𝑧^4 * x^2*y^2*z^4 simplifies to 5x^4*y^4*z^8.

So, the simplified expression is 5x^4*y^4*z^8.

Knowee AI · Accepted Answer

To simplify the expression, we first need to understand that when we have an expression of the form (a^m)^n, it simplifies to a^(m*n).

So, (𝑥𝑦𝑧^2)^2 simplifies to x^2*y^2*z^4.

Now, we multiply this with the original expression 5𝑥^2𝑦^2𝑧^4.

When we multiply terms with the same base, we add the exponents.

So, 5𝑥^2𝑦^2𝑧^4 * x^2*y^2*z^4 simplifies to 5x^4*y^4*z^8.

So, the simplified expression is 5x^4*y^4*z^8.

Simplify the following expression:5𝑥2𝑦2𝑧4(𝑥𝑦𝑧2)2Group of answer choices0255𝑥−1𝑦−1𝑧−155𝑥𝑦𝑧