Question

Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of Micheal's boxes, when empty?

Answer 1

Answer: 1 Kilogram.

Step-by-step explanation:

You know that the weight of one box is $5^{-2}$ kilograms.

You also know that Micheal has $5^2$ boxes.

If you want to know the total weight of Micheal's boxes when empty, you need to multiply the weight of one box by the total number of boxes that Micheal has.

You need to remember the Product of powers property:

$(a^m)(a^n)=a^{(m+n)}$

Then:

$Total\ weight=(5^{-2}\ Kg)(5^2\ Kg)\\\\Total\ weight=5^{(-2+2)}\ Kg\\\\Total\ weight=5^0\ Kg$

Remember that:

$a^0=1$

Then, the result is:

$Total\ weight=1\ Kg$