Answer
Option B is correct.
The sign on the answer is negative.
Explanation
The question is
-3⁴⁰ (5.6 ÷ 2.1)
To answer this question, we will first answer the question in the bracket
(5.6 ÷ 2.1) = 2.667
So, the expression becomes
-3⁴⁰ × 2.667
So, the next step is to explain how powers work.
When negative numbers are raised to the power of an odd number, the answer is normally negative.
Butwhen a negative number is raised to the power of an even number, the answer is a positive number.
An example to illustrate this is
(-2)³ = -8
(-2)² = 4
But this question has -3⁴⁰ which is very different from (-3)⁴⁰
(-3)⁴⁰ will give a positive answer because 40 is an even number.
But -3⁴⁰ means -(3⁴⁰), which means the answer of 3⁴⁰ multiplied by the minus sign; which is a positive answer multiplied by the minus sign, which then gives a final answer that is negative.
So, -3⁴⁰ will give a negative number.
The expression (-3⁴⁰ × 2.667) will then give a negative number (-3⁴⁰) and a positive number (2.667)
-3⁴⁰ × 2.667
= (negative number) × (positive number)
= (negative number)
Hope this Helps!!!