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yarga
2 months ago
9

Simplify the given expression, using only positive exponents. Then complete the statements that follow. [ (x2y3)−1 (x−2y2z)2 ] 2

, x ≠ 0, y ≠ 0, z ≠ 0. The exponent on x is . The exponent on y is . The exponent on z is .
Mathematics
2 answers:
babunello [11.8K]2 months ago
5 0

x=4

y=14

z=4

the commenter was correct

AnnZ [12.3K]2 months ago
4 0

Answer: y²z⁴ / x¹²

  • The exponent for x is 12

  • The exponent for y is 2

  • The exponent for z is 4

Explanation:

1) The expression to simplify:

((x^2y^3)^{-1}(x^{-2}y^2z)^2)^2

2) Rule: power of a power:

(x^{-4}y^{-6})(x^{-8}y^8z^4)

3) Rule: product of powers with identical bases

x^{(-2-8)}y^{(-6+8)}z^4

4) Add up the exponents

x^{-12}y^2z^4

5) Transfer the negative exponent to the denominator:

\frac{y^2z^4}{x^{12}}

The exponent attached to x is 12, for y it is 2, and for z it is 4.

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A certain food has a gluten ratio of 13\,\text{mg}13mg13, start text, m, g, end text of gluten per \text{L}Lstart text, L, end t
tester [12383]

Answer:

The gluten content expressed in micrograms per milliliter is 13 µg/mL.

Step-by-step explanation:

Take into account the details given.

The gluten content of the product is specified as 13 \frac{mg}{L}.

We now need to convert the gluten content to micrograms per milliliter.

For conversion from mg to micrograms, refer to the following facts:

1 mg equals 1000 micrograms.

1 L corresponds to 1000 milliliters.

Next, replace 1 mg = 1000 micrograms and 1 L = 1000 milliliters into the ratio provided above.

13( \frac{1000 \ micro-grams}{1000 \ milliliter} )= 13( \frac{micro-grams}{milliliter})

Consequently, the gluten ratio in micrograms per milliliter is 13 µg/mL.

5 0
3 months ago
Read 2 more answers
What is the concentration of a new solution obtained by mixing 25ml of water with 125ml of a 20% salt solution in water?
babunello [11817]
Given that the salt concentration in a 125 ml salt solution is at 20%, it indicates a salt to water ratio of 20:80, which simplifies to 1:4.

Consequently, the salt quantity in the 125 ml 20% solution can be calculated as 20% of 125, yielding 0.2 x 125 = 25 ml, and therefore, the water content amounts to 125 - 25 = 100 ml.

When adding 25 ml of water to this 20% salt solution, the total water becomes 100 + 25 = 125 ml while the salt quantity remains at 25 ml.

Thus, the new total volume of the solution is 125 + 25 = 150 ml, leading to a salt proportion in the updated mixture of 25/150 = 0.1667.

As a result, the concentration of the new solution <span>after mixing 25 ml of water with 125 ml of a 20% salt solution is 16.67%</span>
5 0
2 months ago
Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger
AnnZ [12381]

Answer:

Initially, the five friends had a total of 10 fingers; one possessed two per hand.

Step-by-step explanation:

According to the statement, each contributed one piece of their ginger during the toasting event.

4 0
1 month ago
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