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What is the sign of — 340 . (5.6 = 2.1)?Choose 1 answer:А PositiveBNegativeCZero

What is the sign of — 340 . (5.6 = 2.1)?Choose 1 answer:А PositiveBNegativeCZero-example-1

1 Answer

3 votes

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!!!

User Jurik
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