Question

Clyde simplified ( j^-8)^-2

Answer 1

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

Answer 2

ANSWER

${j}^{16}$

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:

$( {j}^{ - 8} )^{ - 2} = {j}^{ - 8 \times - 2}$

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

Therefore after simplification, Clyde got:

${j}^{16}$