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poizon [28]
3 years ago
9

How do you multiply monomials with the same base?​

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

9514 1404 393

Answer:

  multiply their coefficients, use the base with the sum of exponents

Step-by-step explanation:

The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.

  (a·x^b)(c·x^d) = ac·x^(b+d)

_____

If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.

<u>Example</u>

  5x^2 · 7x^3= 5·x·x·7·x·x·x

  = 5·7·x·x·x·x·x

  = (5·7)(x^(2+3))

  = 35x^5

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Which expression is equivalent to (x⁻⁶/x²)³?<br> A. 1/x<br> B. 1/x⁵<br> C. 1/x⁹<br> D. 1/x²⁴
vovikov84 [41]

(x⁻⁶/x²)³=(x^-6-2)^3=(x^-8)^3=x^-24=

=1/x²⁴

So the answer is variant D

8 0
3 years ago
Four-thirds times the sum of a number and 8 is 24. what is the number?
labwork [276]
So first you take the words and put them into an equation. "a number" that never gets directly told to you will always be a variable, which is easiest to make X. "The sum of a number and 8" will mean that 8+something is the sum so they have to go in parenthesis... giving you
 4/3*(x+8)=24
now just solve for X, remembering to use the reverse of PEMDAS, since you're solving for the variable.
remove what is furthest away to the X first.
x+8=24*3/4
x+8=18
x=18-8
x=10
Now, remember to always go through and replace your variable with its value and solve. if it is not equal on both sides, retry the problem because you may have missed a small +, -, or * somewhere!


Hope this helped:)
8 0
3 years ago
A grocery store sells 3
irina1246 [14]
You need to multiply the cost of grapes and the pounds of grapes to get the cost of one. $1.15 per one grape
6 0
3 years ago
Use the formula to estimate the temperature when n = 94 chirps/min. Round to the nearest whole number, if necessary.
telo118 [61]

Answer:

56, Below.

Step-by-step explanation:

75/4+37  As you plug this into the formula you get 56.66(Something) And round it to 56.

5 0
2 years ago
Please help me ASAP! I will friend you (probably)! The first correct answer will get brainiest! Terry and Tao are canoeing on a
ivann1987 [24]
<span>erry starts rowing at 2 pm from the west end of the lake, and Tao starts rowing from the east end of the lake at 2:05 pm. 
------
Terry DATA:
rate = 60 meter/min ; time = x min ; distance = r*t = 60x meters
-----
Tao DATA:
rate = 40 meter/min ; time = x-5 min ; distance = r*t = 40(x-5) meters
--------------------------
If they always row directly towards each other at what time will the two meet?

------
Equation:
dist + dist = 2000 meters
60x + 40(x-5) = 2000
20x = 1800
x = 90 minutes
---</span>
8 0
3 years ago
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