Question

Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2

Answer 1

Answer:

Step-by-step explanation:

$(5^{-2}$ × $4^{-4}$ $)^{-2}$

=$(5^{-2}$$)^{-2}$ x $(4^{-4})^{-2}$                            ∴$(a.b)^{n} =a^{n} .b^{n}$

=$5^{-2.-2}$ x $4^{-4 . -2}$                              ∴$(a^{n} )^{m}$ = $a^{nm}$ // here m is an exponent of $a^{n}$.

=$5^{4}$ x $4^{8}$