Question

(3x^-2)^2 × (2x^3)^4 ÷ (6x^4)^2

please show full answer with method ​

Answer 1

Answer:

4

Step-by-step explanation:

(3x−2)2(2x3)4

(6x4)2

=

144x12

36x12

=

144

36

=4

Answer 2

${( {3x}^{ - 2} )}^{2} \times {( {2x}^{3} )}^{4} \div {( {6x}^{4} )}^{2} \\ = {3}^{2} {x}^{ - 2 \times 2} \times {2}^{4} {x}^{3 \times 4} \times {( {6x}^{4} )}^{ - 2} \\ = 9 {x}^{ - 4} \times 16 {x}^{12} \times {6}^{ - 2} {x}^{4 \times (- 2)} \\ = 9 \times 16 \times \frac{1}{36} \times {x}^{ - 4} \times {x}^{12} \times {x}^{ - 8} \\ = 4 \times {x}^{ - 4 + 12 - 8} = 4 \times {x}^{0} \\ = 4$