Respuesta :
The number will be less than 1 because when adding the exponents, 11 (negative 14) result the negative 3, and a number in scientific notation with a negative exponent is less than 1.
Thus the option 4 is the correct option.
What is the exponent power with base 10?
To write the big number in short form, we write them in the positive power of 10.
To write the very small number, we write them in the negative power of 10.
Given information-
The number whose value Bethany wants to estimate is,
[tex](4.296\times10^{11})(1.8614\times10^{-14})[/tex]
Here the power of the 10 is 11 and -14 for the two number.
First solve the number without the multiple of 10 or the power of 10 is zero as,
[tex](4.296\times1.8614)(10^{11}\times10^{-14})\\8\times(10^{11}\times10^{-14})[/tex]
The power of the two numbers with same base is added in the multiplication. thus,
[tex]8\times(10^{11-14})[/tex]
Solve it further,
[tex]8\times(10^{-3})[/tex]
Thus,
The number will be less than 1 because when adding the exponents, 11 (negative 14) result the negative 3, and a number in scientific notation with a negative exponent is less than 1.
Thus the option 4 is the correct option.
Learn more about the exponents with base 10 here;
https://brainly.com/question/18324331
