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Vadim26 [7]
3 years ago
15

The expression (2x^2)^3 is equivalent to _____. 6x^2 6x^5 8x^6

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0

Answer:

8x^{6}

Step-by-step explanation:

To solve this problem is multiply 2 by 2 and then 2 which gives you 8.

Then you will add 2+2+2 and get six. For when multiply exponents you are adding.

GarryVolchara [31]3 years ago
6 0

Answer:

8x^6

Step-by-step explanation:

We are given that an expression

(2x^2)^3

We have to find the equivalent value of given expression

(2x^2)^3

2^3(x^2)^3

2\times 2\times 2\times x^6

(a^b)^c=a^{bc}

8x^6

Hence, the expression (2x^2)^3 is equivalent to 8x^6.

Answer:8x^6

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A 2000 gallon fish aquarium can be filled by water flowing at a constant rate in 10 hours. When a decorativve rock is placed in
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Answer:

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock (V_{r}), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock (V') minus the volume of the fish aquarium with the decorative rock (V''), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

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\Delta t_{2} - Filling time of the fish aquarium with the decorative rock, measured in hours.

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The flow rate is 200 gallons per hour.

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The volume of the rock is 13.368 cubic feet.

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