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grains on the third square,
A chessboard has 64 squares. George places 1 grain of rice on the first square, 2 grains on the second square
8 grains on the fourth square, and so on, until he has placed grains of rice on 10 squares.
Once George has put rice on the 10th square, he has placed a total of
grains of rice on the chess board.

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Ответ:

katie673

26.04.2023

Mathematics

$\frac{1}{125}$

Step-by-step explanation:

The given expression is

$(5^{-2}) (5^{-1})$

The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents

$(5^{-2}) (5^{-1})=5^{-2-1}=5^{-3}$

Then, we use the negative exponent property

$5^{-3}=\frac{1}{5^{3} }$

Finally, we solve the power

$\frac{1}{5^{3} }=\frac{1}{125}$

Therefore, the given expression is equivalen to $\frac{1}{125}$ .

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