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love history [14]
3 years ago
9

Find the product. (-2x^2)^3 ·3x

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

-24 x^7

Step-by-step explanation:

(-2x^2)^3 ·3x

(-2x^2) (-2x^2) (-2x^2)*3x

-8 x^6 *3x

-24 x^7

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The candy store is having a 30% off sale.Emma is going to buy $7.50 worth candy. How much will she pay after the discount?
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Answer:

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The function g(x) = 3x - 12x + 7 written in vertex form is g(x) = 3(x - 2)2 – 5. What is the vertex of g(x)?
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The cube root of 5 times the square root of 5 over the cube root of 5 to the 5th power
Fiesta28 [93]
(cube root of 5)  * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)

This becomes easier if we switch to fractional exponents:


  5^(1/3) * 5^(1/2)         5^(1/3 + 1/2)       5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3)                  5^(5/3)                 5^(5/3) 

Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.

                                                            1
Thus,  5^[5/6 - 5/3] = 5^(-5/6)  =  --------------
                                                        5^(5/6)

That's the correct answer.  But if you want to remove the fractional exponent from the denominator, do this:

    1            5^(1/6)         5^(1/6)
---------- * ------------- = --------------    (ANSWER)
5^(5/6)       5^(1/6)              5
7 0
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