Question

Clyde simplified ( j^-8)^-2

Answer 1

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.

Explanation:

The exponents should be multiplied.

The simplified form should be j^16

Answer 2

`{j}^(16)`

EXPLANATION

The given expression is

`( {j}^( - 8) )^( - 2)`

To simplify this expression, we use the law of exponents.

Recall that:

`{(a}^(m) )^(n) = {a}^(mn)`

We need to multiply the exponents to get:

`( {j}^( - 8) )^( - 2) = {j}^( - 8 * - 2)`

`( {j}^( - 8) )^( - 2) = {j}^(16)`

Therefore after simplification, Clyde got:

`{j}^(16)`