Question

What can this simplify to?

Answer 1

→ Chapter : Exponentiation ←
≡ We know that:
⇔
`(a^(x))/(a^(y))=a^((x-y))`
⇔
`(1)/(a^(-b))=a^(b)`

≡ Solution:
⇒
`(4^(2)g^(3)p^(-2))/(4^(5)g^(12)m^(-5))`
⇒
`[4^((2-5))].[g^((3-12))].[p^(-2)].[m^(5)]`
⇒
`[4^(-3)].[g^(-9)].[p^(-2)].[m^(5)]`
∴
`\boxed{(1)/(64)g^(-9)p^(-2)m^(5)}` or
`\boxed{(m^(5))/(64g^(9)p^(2))}`