Question

Rewrite the expression in the form zⁿ
z, start superscript, n, end superscript. (z¹)²

Answer 1

To rewrite (z^1)^2 in the form z^n, multiply the exponents due to the rule for raising an exponent to a power, resulting in z^2.

Step-by-step explanation:

To rewrite the expression (z1)2 in the form zn, we need to use the properties of exponents which state that when you raise an exponent to another power, you multiply the exponents. So, in this case, (z1)2 simplifies by multiplying the exponent 1 by 2, resulting in z2.

Here are the steps:

1. Identify the base and the exponents in the given expression, which are z and 1 respectively.
2. Apply the rule: when raising an exponent to a power, multiply the exponents. For this expression, we calculate 1 * 2.
3. The result of step 2 is 2, which becomes the new exponent for the base z.

The final expression is z2.