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Alchen [17]
3 years ago
15

Simplify the expression (4x^3y^-5)^4

Mathematics
1 answer:
Elanso [62]3 years ago
5 0

Answer:

64x^12 / y^20

Step-by-step explanation:

(4x^3y^-5)^4

<em>Distribute the exponential value of 4 to all terms in the parentheses.</em>

4^4 * x^(3*4) * y^(-5*4)

<em>Multiply each exponent.</em>

64x^12 * y^-20

<em>Make the negative exponent positive by making it a fraction.</em>

64x^12 / y^20

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COSO ---
Vsevolod [243]

Answer:

• zero: -4, -4/3, 7

• positive: -4 < x < -4/3 . . . or 7 < x

• negative: x < -4 . . . or -4/3 < x < 7

Step-by-step explanation:

Zeros of the function are at x=-4, -4/3, +7. These are the values that make each of the individual factors be zero. For example, x-7=0 when x=7.

The function will be negative for x-values left of an odd number of zeros. It will be positive for x-values left of an even number of zeros (including left of no zeros, which is to say right of all zeros). This is because the sign of the factor giving rise to the zero changes for x-values on either side of that zero. (This is not true for zeros with even multiplicity, as the sign does not change at those.)

3 0
3 years ago
Simplify: −6( 1 4 x - 2 3 x + 5 6 x)
Kisachek [45]

Answer:

= - 282x

Step-by-step explanation:

- 6(14x - 23x + 56x)

= - 84x + 138x - 336x

= 54x - 336x

= - 282x

3 0
3 years ago
Read 2 more answers
Write 2.36 x 10^-3 as a decimal number (ordinary form)​
sergey [27]

Answer:

0.00236

Step-by-step explanation:

Move the decimal left 3 times as the exponent is negitiave 3

5 0
2 years ago
Write the fraction of 12/15 in its simple form​
Ugo [173]

Answer:

4/5

Step-by-step explanation:

To get the answer, find the GCF (greatest common factor) of the numerator and the denominator. Once you have the GCF, divide the 12 and 15 by that number. Here, the GCF is 3.

4 0
3 years ago
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Three randomly selected households are surveyed. /The numbers of people in the households are 1, 3, and 8. Assume that samples o
inn [45]
The question is asking to find the variance for the said samples in the problem ans use the sample data to determine each variance, and base on my further computation and further calculation, I would say that the answer would be the following:
#1. 3.3 -> 1 and 3 -> 2/9
#2. 1-> 0->3/9
#3. 6.3 - > 8 and 3-> 2/9
#4 49-> 1 and 8-> 2/9
8 0
3 years ago
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