When a number is multiplied by itself three times, then the resultant number is called a perfect cube. It is also a number with an exact cube root.
Out of the given options, and are perfect cubes.
= (2's are multiplied and powers are added)
= (3's are multiplied and powers are added)
The monomials that are perfect cubes out of the options given are: B. 8x^12, and C. 27x9.
A perfect cube is a number that can give you a precise cube root, i.e. a³ = a × a × a = ∛a³ = a.
27x^9 can be expressed as: ∛(27x^9) = 3x³
8x^12 can be expressed as: ∛(8x^12) = 2x^4
Therefore, the perfect cubes are: B. 8x^12, and C. 27x9.
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Keywords:
Simplify, expression, order of operation, PEMDAS
For this case we must simplify the given expression, we must take into account the order of operation (sequence in which operations must be performed) known as PEMDAS:
P: Parentesis
E: Exponents
M: Multiplication
D: Division:
A: Addition
S: Subtraction
In the given expression, we see that we have multiplication and addition, according to the PEMDAS rule, we must first do the multiplication:
So:
We multiply, taking into account that:
We add similar terms:
Different signs are subtracted and the sign of the major is placed:
Answer:
By simplifying we get 13 as a result.
Answer:
The answer is A = 4 and B = 3 or C on edge
Step-by-step explanation:
The ratio of 2/11 to 7/11 simplified as a fraction in the lowest terms is 2/7. This was done by canceling out the like terms in both fractions, essentially dividing both numbers in the ratio by the common factor of 11.
To write the ratio 2/11 to 7/11 as a fraction in the lowestterms, you are essentially finding the ratio of these two fractions. Starting from the fractions 2/11 and 7/11, we 'cancel out' the like terms in both fractions. Remember, a ratio is simply a way of comparing two or more numbers. So the ratio of 2/11 to 7/11 simplifies to:
2/11 : 7/11 = 2/7
So, the ratio 2/11 to 7/11 as a fraction in the lowest terms is 2/7. This was achieved by dividing both numbers in the ratio by the common factor of 11.
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2(x+3) = x-4
Answer:
x= -10
Step-by-step explanation:
2(x+3)=x-4
2x+6=x-4
-x. -x
x+6=-4
-6. -6
x=-10