Question

2
complete the following of (-3/5)⁴ × (-3/2)²​

Answer 1

Answer:

81/625×9/4

as negative will cancel

Answer 2

$\bigstar$ Question:

• ${(\frac{ - 3}{5} )}^{4} \times ({ \frac{ - 3}{2} })^{2}$

$\bigstar$To find:

• To simplify what is given.

$\bigstar$ Solution:

$( { \frac{ - 3}{5} })^{4} \times ({ \frac{ - 3}{2} })^{2} \\ = \frac{ (- 3)( - 3)( - 3)( - 3)}{5 \times 5 \times 5 \times 5} \times \frac{( - 3)( - 3)}{(2)(2)} \\ = \frac{ {3}^{6} }{ {5}^{4} \times {2}^{2} } \\ = \frac{729}{2500}$

$\bigstar$Answer:

• Therefore, the answer is 729/2500 or simply 3⁶/(5⁴×2²)

$\bigstar$Note:

• Here, (-3)⁶ = (3)⁶ because negative will get cancelled.