Question

Select the simplification that accurately explains the following statement

37=7 1/3
A (73) = 73.78.74 = 78 +3+= 78 = 72 = 7
B. (72) = 73.73.7% = 73-}-} = 78 = 72 = 7
C (73)° = 78.78.78 = 7+(3+3 + 3) = 7. = 7.1 = 7
D. (73)° = 78.78.7) = 7.7) = 3.1.7 = 1.7 = 7"

Answer 1

The accurate simplification that explains 37=7 1/3 is (73)° = 78.78.7) = 7.7) = 3.1.7 = 1.7 = 7". The correct option is D.

Step-by-step explanation:

In the provided expression, "37=7 1/3," it seems to indicate a mathematical transformation or simplification. Among the options given, option D demonstrates the correct sequence of operations to represent 37 as 7 1/3.

Breaking down option D: (73)° = 78.78.7) = 7.7) = 3.1.7 = 1.7 = 7".

- Starting with 73 as the base number, the exponent symbol "°" suggests a series of operations.

- 78.78.7) implies multiplying 78 by 7 and then dividing by 7.

- This simplifies to 7.7), indicating the division of 7 by 7.

- The result, 3.1.7, shows 7 as a product of 1 and 7.

- Eventually, the expression simplifies to 1.7 and then to 7, representing the equivalence 37=7 1/3.

This sequence of operations showcases how 37 can be interpreted and transformed into the fraction 7 1/3 using the expressions provided in option D. The steps involve a series of multiplications and divisions, finally arriving at the whole number 7, which is indeed equivalent to 1/3 in the context of the given expression. The correct option is D.