The value of (0.16)^(log 2.5 (1/3 + 1/(3²) +....to ∞)) is equal to _ _ _.

Sequence and Series: JEE Main 2020 Mathematics question

JEE Main 2020 · 3 Sep, Morning shift · Q37

JEE Main 20203 Sep, Morning shiftMathematicsMediumSequence and Series179× since 2002

The value of

{\left( {0.16} \right)^{{{\log }_{2.5}}\left( {{1 \over 3} + {1 \over {{3^2}}} + ....to\,\infty } \right)}}

is equal to ______.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2020 · 3 Sep, Morning shift · Q37

JEE Main 20203 Sep, Morning shiftMathematicsMediumSequence and Series179× since 2002

The value of

{\left( {0.16} \right)^{{{\log }_{2.5}}\left( {{1 \over 3} + {1 \over {{3^2}}} + ....to\,\infty } \right)}}

is equal to ______.

Your answerType your answer. Integers and decimals are accepted.