Question

Solve this question no. (b) and (d)

Answer 1

B)
$15 \times {15}^{ \frac{3}{2} } \times {15}^{ \frac{ - 3}{2} } \\ = 15 \times {15}^{ \frac{3}{2} } \times \frac{1}{ {15}^{ \frac{3}{2} } } \\ = 15$
D)
${81}^{ \frac{ - 2}{4} } \div {216}^{ \frac{ - 2}{3} } \\ = {3}^{4 \times \frac{ - 2}{4} } \div {6}^{3 \times \frac{ - 2}{3} } \\ = {3}^{ - 2} \div {6}^{ - 2} \\ = {3}^{ - 2} \times \frac{1}{ {6}^{ - 2} } \\ = \frac{1}{ {3}^{2} } \times {6}^{2} \\ = 36 \div 9 \\ = 4$
=4