By what number should (4/3)^-2 be divided so that the quotient becomes 7/16 - Maths - Exponents and Powers

Question

By what number should (4/3)^-2 be divided so that the quotient
becomes 7/16

Shruti Tyagi · Accepted Answer

Dear student,

Let  43-2 be divided by A to get 716∴43-2÷A=716⇒43-2×1A=716⇒342×1A=716       
[using a-m=1am]⇒916×A=716⇒A=716×169⇒A=79thus, 43-2 be divided by 79 to get 716

Regards