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Kazeer [188]
3 years ago
7

Which expression is equal to

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0

Answer:

D is the most acurate answer.

Step-by-step explanation:

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Write in simplest form:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24a%5E%7B10%7Db%5E%7B6%7D%7D" id="TexFormula1" ti
Charra [1.4K]

Answer:

2a^3b^2\sqrt[3]{3a}

Step-by-step explanation:

Use the following rules for exponents:

a^m*a^n=a^{m+n}\\\\\sqrt[3]{x^3}=x

Simplify 24. Find two factors of 24, one of which should be a perfect cube:

8*3=24\\\\2^3=8

Insert:

\sqrt[3]{2^3*3a^{10}b^6}

Now split the exponents. Split 10 into as many 3's as possible:

10=3+3+3+1

Insert as exponents:

\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^6}

Split 6 into as many 3's as possible:

6=3+3

Insert as exponents:

\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^3*b^3}

Now simplify. Any terms with an exponent of 3 will be moved out of the radical (rule #2):

2\sqrt[3]{3*a^3*a^3*a^3*a^1*b^3*b^3}\\\\\\2*a*a*a\sqrt[3]{3*a^1*b^3*b^3}\\\\\\2*a*a*a*b*b\sqrt[3]{3*a^1}

Simplify:

2a^3b^2\sqrt[3]{3a}

:Done

6 0
3 years ago
Describe the steps that you would use to generate an expression equivalent to 8.1b+6.7a+2.5+7+.9a-2.8b
bija089 [108]

Explanation:

1. Identify the different constellations of variables. Here there are three:

  • b
  • a
  • (none)

2. Combine coefficients of each of the different variable constellations:

  (8.1 -2.8)b +(6.7 +0.9)a +(2.5 +7)

  5.3b +7.8a +9.5

3. Perform any other operations that might be required depending on the sort of equivalent wanted. For example, one could write ...

  5.3(b +(78/53)a) +9.5 . . . . . . . shows the weight of a relative to b

6 0
3 years ago
11/28+4/7 = simplest form
MatroZZZ [7]
The answer to this question is 27/28
4 0
3 years ago
What is the inverse of multiplication?
DENIUS [597]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The equation that describes the relationship is y =
Rainbow [258]
I just need point tbh so thanks !!
7 0
3 years ago
Read 2 more answers
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