Answer:
Sample Response/Explanation: Clyde should have applied the power of a power rule and multiplied the exponents instead of adding them. The simplified form should be j to the 16th power.
Step-by-step explanation:
Clyde should have used the formula of power to the power where the powers are multiplied and not added. This way she could get to the right answer.
The given expression is,
[tex]( {j}^{ - 8} )^{ - 2} [/tex]
To simplify the expression, we need to apply the rule of power to power.
The simplified form of the given expression will be,
[tex]( {j}^{ - 8} )^{ - 2} = {j}^{ ( - 8)( - 2)} \\ = {j}^{16} [/tex]
So, Clyde has done mistake. the correct answer should be
[tex] {j}^{16} [/tex]
Therefore, Clyde should have used the formula of power to the power where the powers are multiplied and not added. This way she could get to the right answer.
For more details about mathematical expressions, refer to the link:
https://brainly.com/question/512302
