Without using a calulator, please solve and explain?

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Without using a calulator, please solve and explain?

(16^(-3/5))^(5/4)
I need to know the simplest way to solve this without using a calculator...please explain well for the ten points thank you.

2006-11-28 14:55:12 · 2 answers · asked by JitterBug589 3 in Education & Reference ➔ Homework Help

PLEASE SHOW YOUR WORK/EXPLAIN HOW YOU GOT TO YOUR ANSWER

2006-11-28 15:05:51 · update #1

2 answers

from left to right

16^(-3/5)

1/(16^3/5)
=1/5th root of 16^3

raising this to 5/4
is the 4th root of 16^3

The 4th root of 16 is 2
so 2^3 =8
so
1/8

or think about powers multiply
so 16^(-3/5)^(5/4)
= 16^((-3/5)*(5/4)
=16^(-3/4)
=1/8

2006-11-28 15:23:32 · answer #1 · answered by af12af3af 2 · 0⤊ 0⤋

Zero

2006-11-28 15:02:20 · answer #2 · answered by cupcake78 1 · 0⤊ 0⤋