Question

Find the value of
(81)^{0.16} * 81 ^{0.09}​

Answer 1

$( {81})^{0.16} \times ( {81})^{0.09} \\ = ( {81})^{0.16 + 0.09} \\ = (81)^{0.25} \\ =( {3}^{4} ) ^{0.25} \\ = ( {3}^{4} ) ^{ \frac{25}{100} } \\ = ( {3}^{4} ) ^{ \frac{1}{4} }\\ = 3$

Remember:

${a}^{m} \times {a}^{n} = {a}^{m + n}$