Question

Simplify (5 −3 − 2 −4 )( 5 −3 + 2 −4 )​

Answer 1

Answer:

-0.00384225

Step-by-step explanation:

Let $5^{-3}$ be a and $2^{-4}$ be b

then

$(5^{-3} - 2^{-4})(5^{-3} + 2^{-4})\\ = (a -b)(a + b})\\ = a^{2} - b^{2}\\ = 5^{-3 }^{-2} - 2^{-4 }^{-2}\\ = 5^{-6} - 2^{-8}\\ = 0.000064 - 0.00390625\\ = -0.00384225$