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kari74 [83]
3 years ago
9

Evaluate the given expression. Do not use a calculator (5/4)^(-4)

Mathematics
2 answers:
insens350 [35]3 years ago
5 0
When something has a negative power you must move it to the denominator to give it a positive power therefore this would then turn into 1/[(5/4)^4]  to simplify this (5/4)^4 would be (25/16)(25/16) then finally (625/256) so it would then look like this 1/(625/256) in order to not have a fraction in the denominator you would multiply; 1 x (256/625) which is 256/625.
Bumek [7]3 years ago
4 0
(5/4)^(-4) = 1/(5/4)^4
1/(5/4)(5/4)(5/4)(5/4)
1/(625/256)
1/(2 113/256)
 256/625
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