Question

Pablo simplified the expression (2 Superscript negative 4 Baseline) Superscript negative 2 as shown.

Answer 1

Answer:

He should have found 8 as the exponent, not –8.

Step-by-step explanation:

Given the expression simplified by Pablo as $(2^{-4})^{-2}$

On simplification we have;

According to one of the law of indices $(a^{m})^{n} = a^{mn}$

Applying this law to the question will give;

$(2^{-4})^{-2}\\=2^{-4*-2} \\\= 2^{8}$

Based on the calculation above, the exponent of 2 is 8 which means that Pablo should have found 8 as the exponent, not –8.