(4/5)^-3
That's 4 over 5 to the negative 3rd power...
2006-10-05 06:45:09 · 3 answers · asked by melspags6 4 in Education & Reference ➔ Homework Help
= 1/[(4/5)^3]
= 1/(4^3/5^3)
= 5^3/4^3
= 125/64
Simply and end with a mixed number.
Hint: The answer is 1 61/64
(The fraction 61/64 cannot be simplified.)
2006-10-05 06:54:26 · answer #1 · answered by Robert B 5 · 0⤊ 0⤋
What's 5^-1? What's 3^-2? The first one is 1/5 the second is 1/(3^2).
When you have a number (fraction or not) raise to a negative power you need to send it to the denominator to change the exponent to a positive value. Hence deviding 1 by that number. If you do that then you can manipulate the equation like you would any other number. Following this rule, the division will become 1/ [(4/5)^3]. Then you need to follow the division rule relating to fractions. I hope this helps. Your answer should be 125/64
2006-10-05 13:54:36 · answer #2 · answered by gabyrig 3 · 0⤊ 0⤋
been a while since i've done math.. but anything to the negative power is 1/ that number.. so (x)^-3 would be (1/x)^3 so you have (1/4/5)^3 which if i remember is (5/4)^3 and you should be able to get it from there... like i said, it's been a while, but i'm pretty sure that's right
2006-10-05 13:56:36 · answer #3 · answered by pip 7 · 0⤊ 0⤋