Question

find the value of (8/27)^((-2)/3)÷1/(64/125)^(1/3) + (√25/∛64)^0

Answer 1

Answer:

14 / 5

Step-by-step explanation:

(8 / 27)^-2/3 ==> (2 / 3)^-2 ==> 9 / 4

(125 / 64)^1/3 ==> 5 / 4

(√25/∛64)^0 ==> 1

Therefore,

9 / 4 ÷ 5 / 4 + 1

= 9 / 4 X 4 / 5 + 1

= 9 / 5 + 1 (4 and 4 gets cancelled.)

= 9 + 5 / 5

= 14 / 5