So this question says amadou drinks 2/3 of a 10 ounce glass or water in 1 1/4 how many glasses of water did he drink in 1 hour? So I need an answer for a mixed number or whole number or an fraction What you guys think it is?

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Ответ:

Tsumiki

09.02.2023

Mathematics

We have been given an expression $\frac{2^5}{6^5}$ . We are asked to choose the expressions, which are equivalent to our given expression.

Using exponent property $\frac{1}{a^n}=a^{-n}$ , we can rewrite our given expression as:

$\frac{2^5}{6^5}=2^5\cdot 6^{-5}$

Upon looking at our given choices, we can see that option D is the correct choice.

Let us simplify our given expression.

$\frac{2^5}{6^5}=\frac{2^5}{(2\cdot 3)^5}$

$\frac{2^5}{6^5}=\frac{2^5}{2^5\cdot 3^5}$

Upon cancelling out 2^5 from numerator and denominator, we will get:

$\frac{2^5}{6^5}=\frac{1}{3^5}$

Using exponent property $\frac{1}{a^n}=a^{-n}$ , we will get:

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

Therefore, option B is a correct choice as well.

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