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jeka57 [31]
2 years ago
12

Simplify the exponential problem 7b^5/b^4

Mathematics
2 answers:
fredd [130]2 years ago
6 0
7b is the simplified answer
Norma-Jean [14]2 years ago
5 0

Solution:

If the <u>numerator</u> and the <u>denominator</u> have like bases in exponents, then the <u>exponents</u> subtract.

  • \frac{7b^5}{b^4} = 7b^5^{-4}
  • => 7b

Thus, 7b is the simplified expression.

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The men's record for javelin throw is 323 ft and 1 in. How many meters do you have to
agasfer [191]
Anything over 100 meters
7 0
3 years ago
Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmi already has 24 cups of pineapple juice, how man
lilavasa [31]

Answer:

Step-by-step explanation:

The ratio is 4:6 4 papaya to 6 pineapple

This turns out to be for every 1 cup of papaya juice you have 1.5 cups of pineapple juice.

If you have 24 cups of pineapple juice divide 24 by 1.5 to get 16 cups of papaya juice. 16:24.

6 0
2 years ago
Solve this problem???​
Svetllana [295]

The denominator of the first term is a difference of squares, such that

4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)

So you can write the fractions as

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)

Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))

((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

Expand the numerator:

(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²

(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)

4<em>ab</em>

<em />

So the original expression reduces to

4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

or

4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)

upon condensing the denominator again.

8 0
3 years ago
Marco and his two younger sisters would like to purchase a silver charm bracelet for their mother’s birthday. they went to the m
ioda

Function would be f(x) = 5x+85

here, x= 15

5(15)+85 = 75+85 = $160

8 0
2 years ago
A movie theater sells popcorn and fountain drinks. Brett buys 1 popcorn bucket and 3 fountain drinks for his family, and pays $9
siniylev [52]

Answer:

Step-by-step explanation:

p + 3d = 9.50

3p + 4d = 19.75

-3p - 9d = -28.50

3p + 4d =  19.75

-5d = -8.25

d= $1.65 drinks

p + 3(1.65) = 9.50

p + 4.95 = 9.50

p = $4.55 popcorn

7 0
2 years ago
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