Answer:
D. The number will be less than 1 because when adding the exponents,
11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.
Step-by-step explanation:
The question lacks appropriate option. Find the options below;
A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.
B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.
C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.
D. The number will be less than 1 because when adding the exponents,
11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.
Given the expression [tex](4.296*10^{11})(1.8614*10^{-14})[/tex], to expand the expression we will apply some of the law of indices below. If a, b and m are integers
[tex]a^m*a^n = a^{a+m}[/tex]
[tex]= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\ power\ of\ the \ exponents\\\\= 7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\[/tex]
= 0.0079965744
Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.
Answer:
The number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.
Step-by-step explanation:
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