What is the quotient of the following expression?

Question

(5.6 × 102) ÷ (1.4 × 10−6)

(1 point)
Responses

4 × 1010
4 × 1010

4 × 109
4 × 109

4 × 107
4 × 107

4 × 108
4 × 108
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Answer 1

To find the quotient of the given expression, we divide the first number by the second number:

(5.6 × 10^2) ÷ (1.4 × 10^(-6))

To divide two numbers in scientific notation, we divide the coefficients and subtract the exponents:

(5.6 ÷ 1.4) × 10^(2 - (-6))

Simplifying,

4 × 10^8

So, the quotient of the expression is 4 × 10^8.

Answer 2

please explain

Answer 3

Apologies for the confusion in my previous response. Let's break down the steps to find the quotient.

First, we divide the coefficients: 5.6 ÷ 1.4 = 4.

Next, we subtract the exponents: 10^2 ÷ 10^(-6) = 10^(2 - (-6)) = 10^8.

Since 10 raised to the power of anything is still 10, we have 10^8.

Finally, we multiply the coefficient (4) by the resulting exponent (10^8).

So, the quotient of the expression is:
4 × 10^8.

I apologize for the incorrect responses in the previous answers. Thank you for bringing it to my attention.