How do you find these exponents?

Question

How do you solve 5^1.1? or 6^0.3?
^ means to the power of

but how do you find out the 10th root of (6^3)?

thank you so much everybody for explaining the concept(especially mathbiomajor), and also thank you rackbrane because i hadnt gotten how to extract the root on the calculator.THANK YOU!

Answer 1

If you want a purely decimal value for these two powers, you will have to use the function usually shown as x^y on a calculator.

Answer 2

5^1.1 = 5^(11/10)

What you are actually doing here is raising 5 to the eleventh power and then extracting the tenth root of that result. It would look something like this:

√48828125, where the root index is 10.

You can find this value on your scientific calculator by first raising 5 to the eleventh power and then extracting the tenth root of that result.

The second one is similar.

6^0.3 = 6^(3/10) = √216 with root index = 10.

This means that 6 is raised to the third power and then the tenth root of that result is extracted. Find its value by first raising 6 to the third power then extract its tenth root on your scientific calculator.

Answer 3

1.1 = 11/10

= 5 ^ (11/10)

= 10th root of (5^11)



.3 = 3/10

= 6^(3/10)

= 10th root of (6^3)

Answer 4

5^1.1 = 5^ 11/10
find 10th root of 5^11
10th root of 48 828 125
use a calculater my one is missing

find 10th root of 6 cube
=10th root of 216

Answer 5

5^1.1
5.873094715440095029572318328459494508368615093786873348407931097

6^0.3
1.7117698594097050961864928046

Answer 6

Use a calculator?

Answer 7

5.8730947154401 for the first

and

1.7117698594097 for the second