Question

Simplify:(8/27)1/3*(25/4)1/2*(4/9)0+(125/64)1/3

Answer 1

Answer:

hope it helps you

Step-by-step explanation:

mark me as a brain list

Answer 2

Given,

It is given that (8/27)¹/₃ * (25/4)¹/2 * (4/9)° + (125/64)¹/₃.

To find,

We have to simplify the given expression (8/27)¹/₃ * (25/4)¹/2 * (4/9)° + (125/64)¹/₃.

Solution,

The value of  (8/27)¹/₃ * (25/4)¹/2 * (4/9)° + (125/64)¹/₃ is 35/12.

We can simply solve the given expression by using the laws of the exponent.

= (8/27)¹/₃ * (25/4)¹/₂ * (4/9)° + (125/64)¹/₃

= (2/3)³)¹/₃  * ((5/2)²)¹/₂ * 1 + ((5/4)³)¹/₃             [a° = 1]

=  2/3 * 5/2 * 1 + 5/4

=     5/3 + 5/4

Taking LCM,

= 20+15/12

= 35/12

Hence, the value of  (8/27)¹/₃ * (25/4)¹/2 * (4/9)° + (125/64)¹/₃ is 35/12.