Answer:
raise a product to a power.
you first simplify the parenthesis in the numerator by raising 2 by the power of three and multiplying the exponents.
i suck at explaining, but after the first step the expression looks like:
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
Answer:
3 6/10 square feet
Step-by-step explanation:
The area of the rectangle is 8 1/10
The width of the rectangle is 2 1/4
We are required to find the length
Area= length × width
Length= Area/width
= 81/10 / 9/4
= 81/10 × 4/9
= 36/10
= 3 6/10
Hence the length of the rectangle is 3 6/10 square feet
Answer:
<em>The number of students in the drama club is 7 and the number in the choir is 14</em>
Step-by-step explanation:
X = Number of students in choir club
Y = Number of students in drama club
<u>First equation:</u>
x + y = 21
<u></u>
<u>Since we know that there are 7 more students in the choir club than the drama club, that means:</u>
x + 7 = y
<u>A little trick that you can do to find y is this:</u>
21 students in the choir and drama club - 7
=> 14
Meaning that y is 14
<u>So lets go back into our second equation:</u>
x + 7 = 14
7 + 7 =14
x=7
<u>Plug both variables in:</u>
7 + 14 = 21
So that means that there are 7 students in the drama club and 14 students in the choir club.
