Question

Simplify : ( 27/ 125)^ −2/ 3 ( 27/ 125) ^4 /3

Answer 1

To simplify the expression (27/125)^-2/3 (27/125)^4/3, you can combine the exponents and evaluate the base. The simplified expression is (125/27)^8/9.

Step-by-step explanation:

To simplify the expression (27/125)-2/3 (27/125)4/3, we can combine the exponents and evaluate the base.

1. First, simplify the exponents by multiplying the denominator by the exponent: -2/3 * 4/3 = -8/9
2. Next, simplify the base by multiplying: (27/125)-8/9
3. Now, rewrite the expression as the reciprocal with a positive exponent: 1 / (27/125)8/9
4. Finally, simplify the expression: 1 / (27/125)8/9 = (125/27)8/9

Therefore, the simplified expression is (125/27)8/9.

Learn more about Simplifying Exponents