Question

Select the correct answer from each drop-down menu.
1)___ 10-3 is 2,000 times greater than 1.9 × 10^-6. It is also 2)___ times greater than 9.5 × 10^-4.

1) 1.9
2.4
3.8
4.8

2) 3
4
12
40

PLEASE HELP, I NEED THE ANSWER ASAP !! I WILL MARK YOU AS BRIANLIEST !! GIVING 40 POINTS FOR THE CORRECT ANSWER !!

Answer 1

The first blank space should be filled with; 3.8 while the second blank space should be filled with 40.

Division involving exponents

Let the first blank number be x;

Hence,

• x × 10-³ = 2000 × 1.9 × 10-⁶

Dividing both sides by 10-³ by means of indices, we have;

• x = 2000 × 1.9 × 10-⁶/10-³

• Hence, x = 3.8.

Therefore, For the second blank space;

3.8 × 10-³ is y times greater than 9.5 × 10-⁴

Hence,

• y = 3.8× 10-³/9.5× 10-⁴

Therefore, y = 40.

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