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exis [7]
3 years ago
13

How many 2/4’s are in 2

Mathematics
1 answer:
swat323 years ago
5 0
Im pretty sure that answer is four!
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Help please!!! I dont understand these questions<br><br><br>currently attaching photos dont delete
Katyanochek1 [597]

Answer:

  1. b/a
  2. 16a²b²
  3. n¹⁰/(16m⁶)
  4. y⁸/x¹⁰
  5. m⁷n³n/m

Step-by-step explanation:

These problems make use of three rules of exponents:

a^ba^c=a^{b+c}\\\\(a^b)^c=a^{bc}\\\\a^{-b}=\dfrac{1}{a^b} \quad\text{or} \quad a^b=\dfrac{1}{a^{-b}}

In general, you can work the problem by using these rules to compute the exponents of each of the variables (or constants), then arrange the expression so all exponents are positive. (The last problem is slightly different.)

__

1. There are no "a" variables in the numerator, and the denominator "a" has a positive exponent (1), so we can leave it alone. The exponent of "b" is the difference of numerator and denominator exponents, according to the above rules.

\dfrac{b^{-2}}{ab^{-3}}=\dfrac{b^{-2-(-3)}}{a}=\dfrac{b}{a}

__

2. 1 to any power is still 1. The outer exponent can be "distributed" to each of the terms inside parentheses, then exponents can be made positive by shifting from denominator to numerator.

\left(\dfrac{1}{4ab}\right)^{-2}=\dfrac{1}{4^{-2}a^{-2}b^{-2}}=16a^2b^2

__

3. One way to work this one is to simplify the inside of the parentheses before applying the outside exponent.

\left(\dfrac{4mn}{m^{-2}n^6}\right)^{-2}=\left(4m^{1-(-2)}n^{1-6}}\right)^{-2}=\left(4m^3n^{-5}}\right)^{-2}\\\\=4^{-2}m^{-6}n^{10}=\dfrac{n^{10}}{16m^6}

__

4. This works the same way the previous problem does.

\left(\dfrac{x^{-4}y}{x^{-9}y^5}\right)^{-2}=\left(x^{-4-(-9)}y^{1-5}\right)^{-2}=\left(x^{5}y^{-4}\right)^{-2}\\\\=x^{-10}y^{8}=\dfrac{y^8}{x^{10}}

__

5. In this problem, you're only asked to eliminate the one negative exponent. That is done by moving the factor to the numerator, changing the sign of the exponent.

\dfrac{m^7n^3}{mn^{-1}}=\dfrac{m^7n^3n}{m}

3 0
3 years ago
X + 4 &lt; 8 HELP please
labwork [276]

Answer:

x + 4 < 8

   - 4    -4

x < 4

Step-by-step explanation:

So, Basically anything less than 4 is a solution for this equation.

5 0
2 years ago
What is the answer QUICK
Tems11 [23]

Answer:

the secound one

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which number lies half-way between 356 and 1025​
Flura [38]
Answer is 695

(365+1025)/2= 695
8 0
3 years ago
I need the help plz help me help me badly plz help me plz someone help me plz ASAP
Vesnalui [34]

Answer:

B. 1 1/2 miles

Step-by-step explanation:

He runs daily ten 440-yard laps.

The distance he runs daily is 10 * 440 yd = 4400 yd.

1 mile = 1760 yd

4400/1760 = 2.5

He runs daily 2.5 miles

A race is 1 mile.

2.5 miles - 1 mile = 1.5 miles

Answer: B. 1 1/2 miles

4 0
3 years ago
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