MATHEMATICS MIDDLE SCHOOL

Evaluate each expression (25^-3/2)^1/3

Answers

Answer 1
Answer:

Following are the calculation to the given expression:

Given:

\to (25^{-(3)/(2))^{(1)/(3)}

To find:

evaluate expression=?

Solution:

\to (25^{-(3)/(2))^{(1)/(3)}= ((5^2)^{-(3)/(2))^{(1)/(3)}\n

                = (5^{2 * -(3)/(2)})^{(1)/(3)}\n\n= (5^(-3))^{(1)/(3)}\n \n= 5^{{-3}* (1)/(3)}\n \n= 5^(-1)\n\n=(1)/(5)

The final answer is "{(1)/(5)}".

Learn more:

brainly.com/question/8061466
Answer 2
Answer:

Answer:

\large\boxed{\left(25^{-(3)/(2)}\right)^(1)/(3)=(1)/(5)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^(nm)\n\n\left(25^{-(3)/(2)}\right)^(1)/(3)=25^{-(3)/(2)\cdot(1)/(3)}=25^{-(1)/(2)}\n\n\text{Use}\ a^(-n)=(1)/(a^n)\n\n=(1)/(25^(1)/(2))\n\n\text{Use}\ a^(1)/(n)=\sqrt[n]{a}\to a^(1)/(2)=\sqrt[2]{a}=√(a)\n\n=(1)/(√(25))=(1)/(5)

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a box contains 100 pens.In each box there are 38 black pens and 42 blue pens,while the rest are green pens.Mr.Cane buys 6 boxes of pens.How many green pens does he have in total

Answers

If he has 6 boxes with 100 pens in each box that's 600 pens.

38 x 6 = 228 pens are black

42 x 6 = 252 pens are blue

228 + 252 = 480 black and blue pens

600 - 480 = 120 green pens

Hope this helps. :)
120 of the pens are green.
100-(38+42)=?
100-80=20
20x6= 120
therefore 120 pens are green.

Surface area and volume of trapezoid prim

Answers

Surface Area formula of a prism:
S.A = 2 × Area of base + Perimeter of Base × Height of prism

Area of base ( trapezium ) = (1)/(2) × height (base₁ + base₂)
Perimeter of base ( trapezium ) = All sides added together (a₁ + a₂ + b₁ + b₂)

Volume Formula of prism:
V = Area of base × Height of prism

And just substitute them all
Hope it helped!

9000 equals to what tens

Answers

9000 equals to 900 tens. ( 1. 9×10=90,
2. 90×10=900,
3. 900×10=9,000. )

What is a 30% increase followed by a 15% decrease?

Answers

Answer:

In the end, it’s a fifteen percent increase.

Step-by-step explanation:

We know 4 times 9 = 36So, which of the following statements are also true?
Select all that apply.

9 is a multiple of 36

36 is a factor of 4

9 is a factor of 36

PLEASE HELP ASAP!!!

Answers

9 is NOT a multiple of 36. 36 is a multiple of 9.Multiples go..9,18,27,36 so 36 would be 36,72,108...36 is not a factor of 4. Factors of 4 are 1,2,4.The only correct answer is 9 is a factor of 36.
Hello!

So, 9 is a multiple of 36, we know that much.
36 is NOT a factor of four.
9 is a factor of 36.
So, check the first box and the third box.

Have a wonderful day!  :)

-L

Kevin drove 22 1/2 miles in 1/3 hour. What was his average speed in miles per hour

Answers

Answer=67.5 mph

22 1/2 miles   1/3hours

(22 1/2)/(1/3)=67.5miles per hour

____________________________
another way to solve this would be....

    1/3              1
_______=________
 22 1/2            x

cross multiply
(1/3)x=22 1/2
divide both sides by 1/3
x=67.5miles per hour
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