Answer :
The value of (7/2)⁸ is 5764801 ÷ 256 or 22518.75
Explanation:
An exponent is a number of times a number has to be multiplied by itself.
For example = 2³
Here, 2 has to multiplied 3 times.
2³ = 2 X 2 X 2
2³ = 8
Similarly,
[tex](\frac{7}{2} )^8[/tex] , 7/2 is multiplied 8 times
So,
[tex](\frac{7}{2}) ^8 = \frac{7}{2} X \frac{7}{2} X \frac{7}{2} X\frac{7}{2} X\frac{7}{2} X\frac{7}{2}X \frac{7}{2} X\frac{7}{2} \\\\(\frac{7}{2}) ^8 = \frac{5764801}{266}[/tex]
The exponential form of (7/2)⁸ is 5764801/256
The decimal form would be 22518.75
Therefore, the value of (7/2)⁸ is 5764801 ÷ 256 or 22518.75