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olga_2 [115]
3 years ago
6

When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie.How man

y of the group see the science fiction movie.?
Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

Answer: 8 members of the science group decided to watch the science fiction movie

Step-by-step explanation:

When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie. This means that the total sum of the members of the group that decided to watch the science fiction movie and the members that did not watch the science fiction movie is 40.

If 1/5 of the group decides to watch a science friction movie, that means that 1/5 of 40 watched the science fiction movie. It becomes

1/5 × 40/= 40/5 = 8

8 members of the science group decided to watch the science fiction movie.

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2^-3 x 3^-2<br> 2 to the power of negative 3 times by 3 to the power of negative 2
Ivan
<h3>The value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889</h3>

<em><u>Solution:</u></em>

<em><u>Given that:</u></em>

2^{-3} \times 3^{-2}

We have to find the value of expression

We know that,

a^{-n} = \frac{1}{a^n}

Therefore,

2^{-3} \times 3^{-2} = \frac{1}{2^3} \times \frac{1}{3^2}

We know that,

a^2 = a \times a

Similarly,

2^{-3} \times 3^{-2} = \frac{1}{2 \times 2 \times 2} \times \frac{1}{3 \times 3}\\\\Simplify\\\\2^{-3} \times 3^{-2} = \frac{1}{8} \times \frac{1}{9}\\\\2^{-3} \times 3^{-2} = \frac{1}{72}\\\\Simplify\\\\2^{-3} \times 3^{-2} = 0.013889

Thus value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889

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