(5/6)-³ X (3/10)-² answer as a rational number

Answer 1

(5/6)^-3 times (3/10)^-2

flip the fraction upside down and change the sign of the exponent:

= (6/5)^3 times (10/3)^2

= 6^3/5^3 times 10^2/3^2

multiply the numerators together divided by the denomnators multiplied together

= (6^3)(10^2)/(5^3)(3)^2

= 216(100)/125(9)

= 21600/1125

=19.2

or do some canceling 1st

(6^3)(10^2)/(5^3)(3)^2

= 6^3/3^2 times 10^2/5^3

= 3^3(2^3)/3^2 times 5^2(2^2)/5^3

= 3(2^3) times 2^2/5

=3(8)(4)/5

= 96/5

= 19.2