To write the best estimate for the following product in scientific notation, what should be the power of ten? (8.91 x 10^2)(3.3 x 10^12)

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.

Given


First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have


Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place backwards and add 1 from the exponent of 10.

Thus,

in standard notation is


Therefore, to write the best estimate for

in scientific notation, the power of ten is 15.

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