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

Step-by-step 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,

`((7)/(2) )^8` , 7/2 is multiplied 8 times

So,

`((7)/(2)) ^8 = (7)/(2) X (7)/(2) X (7)/(2) X(7)/(2) X(7)/(2) X(7)/(2)X (7)/(2) X(7)/(2) \\\\((7)/(2)) ^8 = (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