Question

{(125)-² × (16)-³/² }-½


✌law of indices✌

✔top answers mark brainlist✔

Answer 1

[(125)^-2×(16)^-3/2]^-1/2
on solving this
ans=1000

Answer 2

Solutions :-


$(( {125)}^{ - 2} \times {(16)}^{ \frac{ - 3}{2} } {)}^{ \frac{ - 1}{2} } \\ \\ = ( (- 125 \times - 125) \times {(2)}^{4 \times \frac{ - 3}{2} } {)}^{ \frac{ - 1}{2} } \\ \\ = (15625 \times {(2)}^{ - 6} {)}^{ \frac{ - 1}{2} } \\ \\ = (15625 \times 64 {)}^{ \frac{ - 1}{2} } \\ \\ = (1000000 {)}^{ \frac{ - 1}{2} } \\ \\ = 1000000 \times - 0.5 \\ \\ = - 500000$

Hope it helps.