Identify the number that will replace the question mark in the second equation based on the relationship represented in the first equation.
The correct answer, based on the calculation, is 138.
The relationship is given by the formula\(a^2 + b^3 + c^4\), where \(a , b\)and are the numbers in the nested boxes from outermost to innermost.
First Circle Calculation: \(a = 2 , b = 3 , c = 4\)
Applying the formula:
\(a^2 + b^3 + c^4 = 2^2 + 3^3 + 4^4 = 4 + 27 + 256 = 287\)
Second Circle Calculation: \(a = 7 , b = 2 , c = 3\)
Applying the formula:
\(a^2 + b^3 + c^4 = 7^2 + 2^3 + 3^4 = 49 + 8 + 81 = 138\)
Thus, the answer is 138.
Rearrange the following parts to form a meaningful and grammatically correct sentence:
P. a healthy diet and regular exercise
Q. are important habits
R. that help maintain good physical and mental health
S. especially in today's busy world