(6h)^8/(6h)^6. can anyone help?​

Answers

Answer 1
Answer:

Answer:

h^2

Step-by-step explanation:

=6h^8/6h^6

Factor out h

=6h^2/6

=h^2


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Simplify xz^3*4x^4z^5

Answers

Answer:

22x5z8

Step-by-step explanation:

xz3*4x4z5 

Final result :

22x5z8

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(22xz3 • x4) • z5

Step  2  :

Multiplying exponential expressions :

 2.1    z3 multiplied by z5 = z(3 + 5) = z8

Final result :

22x5z8

Final answer:

The given expression xz^3*4x^4z^5 can be simplified by adding the exponents of same variables when they are multiplied resulting in the simplified expression 4x^5z^8.

Explanation:

Yes, it's possible to simplify the expression xz^3*4x^4z^5. The rule here involves combining the same variables and adding their exponent parts. First, let's look at x terms. You have x in both terms, one is x^1 (since an x without any shown exponent has 1 as exponent) and another is x^4, so when you multiply them (x^1 * x^4), you add their exponents to get x^5. Similarly for the z term: you have z raised to the power of 3 in the first term and z raised to the power of 5 in the next. When you multiply them (z^3 * z^5), you add their exponents to get z^8. The constant 4 is also being multiplied here and is retained in the final answer. In conclusion, the simplified expression will be 4x^5z^8.

Learn more about Simplifying expressions here:

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2(5x-7)=2x+10 what Is the distributive property

Answers

Answer:x = 3

Step-by-step explanation:

2(5x-7)=2x+10

distribute 2(5x-7)

=2*5x - 2*7

  ∨       ∨

  10x - 14

10x - 14 = 2x + 10

add 14 to both sides

10x-14=2x+10

    +14      +14

simplify

10x=2x+24

subtract 2x to both sides

10x=2x+24

-2x -2x

simplify

8x=24

divide both sides by 8

 8x=24

÷8x ÷ 8x

x = 3

3.5 hours; $10
What is the unit rate per hour?

Answers

Answer:

The unit rate is $2.86 per hour

Explanation:

The units rate is amount earned in 1 hour

We are given that the rate for 3.5 hours is $10

To get the unit rate, we will use cross multiplication as follows:

3.5 hours ..........> $10

1 hour ..................> ??

units rate = (1*10)/(3.5) = (20)/(7) which is approximately $2.86 per hour

Hope this helps :)

The sum of three consecutive integers is 81. what are the three integers

Answers

Our three consecutive integers are 26, 27, 28.

let the first integer be x
second: x+1
third: x+2
hence, x+(x+1)+(x+2)=81
3x+3=81
3x=81-3
x= (81-3)÷3 = 26.
3 integers: 26, 27, 28

Eduardo runs 6 laps around the track at Lincoln Park School. Then he runs 3 1/2 miles to get home. How far will he run in all?

Answers

the total run is:
total miles = 6x + 3 1/2
where x is the length of Lincoln Park School

Answer: Eduardo ran 21 miles in all.

You have to multiply 6 x 3 1/2

6 x 3 1/2 equals 21

So in total Eduardo ran 21 miles.

Use the distributive property to rewrite the expression and solve.8 63 = 8 + 8 3 =

Answers

8 * 63 = 8 * ? + 8 * 3 = ?

Okay, so we have 8 * 63, and it is broken down to 8 * ? + 8 * 3.

63 - 3 = 60, so our number should be 60.

8 * 63 = 8 * 60 + 8 * 3 = ?

To find the last number, we can just multiply 8 * 63, which is 504.

8 * 63 = 8 * 60 + 8 * 3 = 504