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4 years ago

Please help ......................

Mathematics

1 answer:

Katyanochek1 [597]4 years ago

8 0

you have to do rise over the run

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Please help me!!! 30 minutes left

Lesechka [4]

Option D:

$\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

To find which expression is equivalent to the given expression.

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $(ab)^m=a^mb^m$

$$=\frac{5^3 a^3 b^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $\frac{1}{a^{m}}=a^{-m}, \quad \frac{1}{a^{-m}}=a^{m}$

$$=\frac{125 a^3 b^{3}a^{6} b^{7}}{30 }$

$$=\frac{125 a^3 a^{6} b^{3} b^{7}}{30 }$

Using exponent rule: $a^{m} \cdot a^{n}=a^{m+n}$

$$=\frac{125 a^{3+6} b^{3+7} }{30 }$

$$=\frac{125 a^{9} b^{10} }{30 }$

Divide both numerator and denominator by the common factor 5.

$$=\frac{25 a^{9} b^{10} }{6 }$

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}=\frac{25 a^{9} b^{10} }{6 }$

Therefore, $\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Hence Option D is the correct answer.

4 0

3 years ago

19 Sasha drinks 2.5 liters of water during the weekdays. She drinks a total of 3 liters of water on the weekend. What is the tot

12345 [234]

13.5
Hope this helps. Anymore questions?

6 0

3 years ago

Read 2 more answers

James bought 4 pairs of sneakers. Each pair has $29.95.If James had $5.40 left for lunch, how much money did he begin with

Svet_ta [14]

Answer:

Step-by-step explanation:

$29.95 x 4 = $119.80

$119.80 + $5.40 = $125.20

Answer: $125.20

8 0

3 years ago

Read 2 more answers

Tammy harvested 6 3/4 pounds of nuts from her pecan tree. If she divides the nuts into 3/4 pound bags, how many bags will she ha

Oxana [17]

Answer:

Step-by-step explanation:

You need to divide 6 3/4 by 3/4.

Change the mixed numeral into a fraction. Then divide the fractions.

(6 3/4) / (3/4) =

= 27/4 / 3/4

= 27/4 * 4/3

= 27/3 * 4/4

= 9

8 0

3 years ago

Quick I need help 23 and 24 easy seventh grade math

Alekssandra [29.7K]

Answer:-14, -26

Step-by-step explanation:

13-4=9

4-9=-5

From here you can see that the pattern is -9

-5-9=-14

23. is -14

16-2=14

2-14=-12

From here you can see that the pattern is -14

-12-14=-26

24. is -14

6 0

4 years ago