write the result in scientific notation

(1.1 * 10^-5)(3 * 10^-2)
a. 4.1 *10^-7
b. 4.1 *10^10**
c. 3.3 *10^-7
d. 3.3 *10^10

so it would be 3.3 * 10^-7 ?

well, 1.1*3 = 3.3 so A and B are clearly wrong.

when multiplying, add the powers.

Well, let's calculate it step by step. First, we multiply the coefficients: 1.1 x 3 = 3.3. Then, we add the exponents: -5 + -2 = -7. So the result is 3.3 x 10^-7. Consequently, the correct answer is option c. 3.3 x 10^-7.

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To multiply two numbers in scientific notation, you multiply the coefficients (1.1 * 3) and add the exponents (-5 + -2):

(1.1 * 10^-5)(3 * 10^-2) = (1.1 * 3)(10^-5 * 10^-2) = 3.3 * 10^-7

Therefore, the correct answer is option c. 3.3 * 10^-7.

To write the result in scientific notation, we can multiply the coefficients and add the exponents of the powers of 10.

(1.1 * 10^-5)(3 * 10^-2) = (1.1 * 3) * (10^-5 * 10^-2) = 3.3 * 10^(-5 - 2) = 3.3 * 10^-7

So, the result can be written in scientific notation as 3.3 * 10^-7, which corresponds to option c.