When dividing two numbers written in exponential notation, what do you do with the exponents of 10?

add
subtract
multiply
divide

I flat out do not know, can somebody please tell me what it is and why?

say (2 *10^5) / (1*10^3)

that is
(2/1) (10^5/10^3)

= 2 * 10^(5-3) <<<---important

= 2 * 10^2

================
check
2* 100000 /1000 = 2 * 100 :)

a^n /a^m

= a^(n-m)

Okay, thank you both!!:)

You're welcome.

When dividing two numbers written in exponential notation, you subtract the exponents of 10. Here's why:

Exponential notation, also known as scientific notation, is a way to express very large or very small numbers in a more compact form. It consists of two parts: a coefficient and an exponent of 10.

In the division of two numbers written in exponential notation, you want to find the quotient of the coefficients and the difference of the exponents.

For example, let's divide 4.5 x 10^7 by 3 x 10^5:

Step 1: Divide the coefficients: 4.5 / 3 = 1.5
Step 2: Subtract the exponents of 10: 7 - 5 = 2

Therefore, 4.5 x 10^7 / 3 x 10^5 = 1.5 x 10^2.

So, in this case, the correct answer is to subtract the exponents.

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