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Marat540 [252]
3 years ago
8

Choose the correct simplification of the expression a^2*a^3

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

a^2\cdot a^3=a^{2+3}=a^5

Why?

a^2=a\cdot a\\\\a^3=a\cdot a\cdot a\\\\a^2\cdot a^3=\underbrace{(a\cdot a)}_{2}\cdot\underbrace{(a\cdot a\cdot a)}_{3}=\underbrace{a\cdot a\cdot a\cdot a\cdot a}_{2+3=5}

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25(x+5\4)^2-16(x7\4)^2 factorize the expression​
elena-s [515]

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 5(x + 5/4) and b = 4 (x (7/4) ).

− (12x + 25/4) (2x + −25/4)

4 0
2 years ago
How many solutions does the equation have? 6-a = 1/3(9a-18)
Alex777 [14]
6 - a = \frac{1}{3} (9a - 18)

First, simplify \frac{1}{3} (9a - 18) to \frac{9a-18}{3} / Your problem should look like: 6 - a =  \frac{9a - 18}{3}
Second, multiply both sides by 3. / Your problem should look like: 18 - 3a = 9(a - 2)
Third, expand. / Your problem should look like: 18 - 3a = 9a - 18
Fourth, add 3a to both sides. / Your problem should look like: 18 = 9a - 18 + 3a
Fifth, simplify 9a - 18 + 3a to 12a - 18. / Your problem should look like: 18 = 12a - 18
Sixth, add 18 to both sides. / Your problem should look like: 18 + 18 = 12a
Seventh, add 18 + 18 to get 36. / Your problem should look like: 36 = 12a
Eighth, divide both sides by 12. / Your problem should look like: \frac{36}{12} = a
Ninth, since 3 goes into 12 to get 36, simplify \frac{36}{12} to 3. / Your problem should look like: 3 = a
Tenth, switch sides. / Your problem should look like: a = 3

Answer: a = 3 (one solution)

5 0
3 years ago
A rectangular pool is 20 ft wide and 50 ft long. the pool is surrounded by a walkway. the walkway is the same width all the way
Ratling [72]
50wideis the walkway
8 0
3 years ago
Solve this absolute value inequality. <br><br> {14-2x]&lt;8
prohojiy [21]

|14-2x|6\ \wedge\ 2x3\ \wedge\ x

6 0
3 years ago
Pls help its a optional math question
Pepsi [2]

Answer:

70cm

Step-by-step explanation:

33=27/360*2*22/7*r

33*2520/1188=r

83160/1188=r

r=70cm

hope it's right

6 0
3 years ago
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