Simplify each number. 64²/₃ 64²/₃
1 answer:
The result of simplifying each number 64²/₃ 64²/₃ using the exponent rules is 256
To solve this exercise we have to resolve algebraic operations following the exponent rules.
64²/₃ * 64²/₃
- Base= 64
- Exponent = 2/3
The base number 64 is the same that: 4³, then we get:
(4)³ ⁽²/₃⁾ * (4)³ ⁽²/₃⁾
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:
4⁽³*²/³⁾ * 4⁽³*²/³⁾
4⁽⁶/³⁾ * 4⁽⁶/³⁾
(4)² * (4)²
Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:
4⁽²⁺²⁾
4⁴
4*4*4*4
256
<h3>What is an exponent?</h3>In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
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Answer:
<h2>There is a 9% of chances that all three selections are apples.</h2>Step-by-step explanation:
We know that there are 6 apples, 5 oranges and 1 pear, which gives a total of 12 fruits, that's total number of possible outcomes, the denominator of the simple probability.
Now, his friend selects three fruits with three trials without replacement, that means we need to find the probability of each even and then multiply them, because they are independent events.
Notice that we calculated the total probability using the same expression. The important thing is that you need to decrease the number of events and the total number of outcomes at each selection, because after his friends picks one apple, he doesn't put it back in the bag.
Therefore, there is a 9% of chances that all three selections are apples.
(We multiplies the number by 100 to express it in percentage)