Do each problem in two steps. First write if out the long way. Then multiply terms. \( (8 a)^{2}= \) \( (3 x)^{3}= \) \( \left(2 x^{2}\right)^{4}= \) \( \left(x^{2} y^{3}\right)^{3}= \)

To solve \( (8a)^{2} \) the long way, we first express it as \( 8a \times 8a \). Then, multiplying the terms, we get \( 64a^{2} \). For \( (3x)^{3} \), we begin by writing it as \( 3x \times 3x \times 3x \). Then, multiplying the terms, we find \( 27x^{3} \). When we tackle \( \left(2x^{2}\right)^{4} \), we can express it as \( 2x^{2} \times 2x^{2} \times 2x^{2} \times 2x^{2} \). After multiplying the terms, we arrive at \( 16x^{8} \). Lastly, we consider \( \left(x^{2}y^{3}\right)^{3} \) and write it as \( x^{2}y^{3} \times x^{2}y^{3} \times x^{2}y^{3} \). Upon multiplying the terms, we get \( x^{6}y^{9} \).