ANSWER
[tex]{j}^{16} [/tex]
EXPLANATION
The given expression is
[tex]( {j}^{ - 8} )^{ - 2} [/tex]
To simplify this expression, we use the law of exponents.
Recall that:
[tex] {(a}^{m} )^{n} = {a}^{mn} [/tex]
We need to multiply the exponents to get:
[tex]( {j}^{ - 8} )^{ - 2} = {j}^{ - 8 \times - 2} [/tex]
[tex]( {j}^{ - 8} )^{ - 2} = {j}^{16} [/tex]
Therefore after simplification, Clyde got:
[tex]{j}^{16} [/tex]
Answer:
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:
The exponents should be multiplied.
The simplified form should be j^16
