SOLUTION: what is the numerical value of 4 raise to onethird? what is the numerical value of 32 raise to negative three halves? what is the numerical value of (18/81) raise to three fourth

Algebra ->  Radicals -> SOLUTION: what is the numerical value of 4 raise to onethird? what is the numerical value of 32 raise to negative three halves? what is the numerical value of (18/81) raise to three fourth      Log On


   



Question 715617: what is the numerical value of 4 raise to onethird?
what is the numerical value of 32 raise to negative three halves?
what is the numerical value of (18/81) raise to three fourths?
what is the numerical value of (-32) raise to negative two fifth?

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Just use a calculator. If your calculator has parentheses buttons, as many do, then you can just enter the entire expression:
4^(1/3)
32^(-3/2)
(18/81)^(3/4)
(-32)^(-2/5)

If your calculator does not have parentheses buttons then first convert all the fractions into decimals:
4^(0.3333333...) (1/3 is a repeating decimal. Use as many 3's as you like. The more you use, the closer the answer will be to the right answer.)
32^(-1.5)
(0.2222...)^(0.75) (Another repeating decimal)
(-32)^(-0.4)

If you can't figure out how to do negative exponents, then just use the positive exponent and then find the reciprocal of the answer you get. (Most calculators have a reciprocal button: 1%2Fx)

P.S. The last one can be done without a calculator if you figure out that %28-2%29%5E5+=+-32 and if know how fractional exponents work:
%28-32%29%5E%28-2%2F5%29+=+%28root%285%2C+-32%29%29%5E2+=+%28-2%29%5E2+=+4