how do you find the answer to 2 to the power of negative 5?

Question

Ive got no idea how to deal with theese
sorta questions n i need help!
Ive also got weird qs like 27 to the
power of a negative third
Pleez help!

gosh thx 4 the answers! ur so smart
ive still got questions like 27 to the power
of negative three
how do u calculate a number to the power
of a negative fraction?

Oh thanx that helped
but how do u get wat 27 to the
power of a third or half is without a calc??
id be very thankfull if ud answer

Answer 1

Use your law of exponents.

You have 2^(-5), which is the same as 1/ (2^5).
This equals 1/32 = 0.03125

Answer 2

2^-5, means that it is actually 1 over 2^5, so your answer would be 1/32. when u have a negative root, reverse the answer. for example, 27^-3 would be 1/27^3. But if you had 1/2^-2, you would switch it and make it 2^2 so your answer would be 4.
if you still don't get it, you may want to ask your teacher or parents for help, or call a friend.
or use google. that always helps. =)
P.S. u may want to write out what i explained on a piece of paper so it helps u understand.

Answer 3

Raise 2 to the 5th power and divide that in to 1. For the other question raise 27 to the third power and divide that in to 1. When you move a number with an exponent from numerator to denominator or vice versa just change the sign of the exponent no matter what the sign is.

Answer 4

A negative exponent means that it's really 1 over whatever the thing is. So you do 2^5 as normal (2x2x2x2x2, which is 32) and then put it under 1. You get 1/32.

Answer 5

x^-y is the same as 1 / x^y

For example: 5^-3 = 1 / 5^3 = 1/125

x^(y/z) is the same as the "z" root of x^y

For example: 4^(2/3) = the cube root of (4^2) = cube root of 16