Question

by what number should (-4/7) power2 be multiplied to get (49/16)power-2​

Answer 1

let the no. multiplied be x

ATQ,

(-4/7)²×x=(49/16)-²

(-4/7)²×x=(16/49)²

x=(16/49)²×(-7/4)²

=(16×16/49×49)×(-7×7/4×4)

= - 4×4/7×7

= - 16/49

=(- 4/7)²