Putting in scientific notation (3000)(20000)

6*10^7

Solving

(3*10^5)(7*10^3)

21*10^9

Is this right, please help

the first one is correct

the second one is not right because you can only have a digit in the ones section
so it should be 2.1 x 10^9

first one is right,

second one should have been 2.1 * 10^9
perhaps it was just a typo.

Yes, you are correct!

To multiply numbers in scientific notation, you need to multiply their coefficients and add their exponents.

Let's solve the first problem: (3000)(20000).

Step 1: Multiply the coefficients: 3 * 2 = 6.

Step 2: Add the exponents: 10^3 * 10^4 = 10^(3+4) = 10^7.

So, (3000)(20000) = 6 * 10^7.

Now, let's solve the second problem: (3*10^5)(7*10^3).

Step 1: Multiply the coefficients: 3 * 7 = 21.

Step 2: Add the exponents: 10^5 * 10^3 = 10^(5+3) = 10^8.

So, (3*10^5)(7*10^3) = 21 * 10^8.

Therefore, your answer is correct! It is (3*10^5)(7*10^3) = 21 * 10^8.