Question

How do you rewrite 7/2 with an exponent of eight

Answer 1

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,

$(\frac{7}{2} )^8$ , 7/2 is multiplied 8 times

So,

$(\frac{7}{2}) ^8 = \frac{7}{2} X \frac{7}{2} X \frac{7}{2} X\frac{7}{2} X\frac{7}{2} X\frac{7}{2}X \frac{7}{2} X\frac{7}{2} \\\\(\frac{7}{2}) ^8 = \frac{5764801}{266}$

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