Question

Simplify (16a²)×(27³)⅓ and evaluate the result when a=4/9

Answer 1

Step-by-step explanation:

16×16/81×27

85.333 is the answer

Answer 2

Answer:

$= ( {16a}^{2} ) \times {( {27}^{3} )}^{\frac{1}{3} } \\ = ({16a}^{2}) \times 27 \\ = {(4a)}^{2} \times {3}^{3} \\ given \: a = \frac{4}{9} \\ = {( \frac{4 \times 4}{9} )}^{2} \times {3}^{3} \\ = {( \frac{16}{9} )}^{2} \times {3}^{3} \\ = \frac{256 \times 27}{81} \\ = \frac{6912}{81} \\ = \frac{256}{3}$