is it possible to have 10 to the power of 2.5?

Question

0

811

1

Guest Aug 19, 2015

+23245

+5

Best Answer

Yes; you can have 10 to an exponent of any number.

To get a decimal approximation, use a calculator; however, it can be reduced (a little):

10^2.5 = 10^{2 + 0.5} = 10² x 10^0.5

Since 10² = 100 and 10^0.5 = 10^1/2 = √10

10^2.5 = 100√10

geno3141 Aug 19, 2015

geno3141 · Answer 1 · 2015-08-19T05:02:03

Yes; you can have 10 to an exponent of any number.

To get a decimal approximation, use a calculator; however, it can be reduced (a little):

10^2.5 = 10^{2 + 0.5} = 10² x 10^0.5

Since 10² = 100 and 10^0.5 = 10^1/2 = √10

10^2.5 = 100√10