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Snowcat [4.5K]
3 years ago
6

Which expression can be simplified as 625/n^12 check all that apply

Mathematics
1 answer:
neonofarm [45]3 years ago
8 0

Answer:

Only options, A and E give 625/n¹² on simplification. The other options do not apply.

(5n⁻³)⁴ = (625/n¹²)

(25n⁻⁶)² = (625/n¹²)

Step-by-step explanation:

625/n¹²

a) (5n⁻³)⁴

According to the law of indices, this becomes

(5⁴)(n⁻³)⁴ = 625(n⁻¹²) = 625/n¹²

This applies!

b) (5n⁻³)⁻⁴

According to the law of indices, this becomes

(5⁻⁴)(n⁻³)⁻⁴ = (n¹²)/625 = n¹²/625

Does Not apply!

c) (5n⁻⁴)³

This becomes

(5³)(n⁻⁴)³ = 125n⁻¹² = 125/n¹²

Does Not apply!

d) (25n⁻⁶)⁻²

This becomes

(25⁻²)(n⁻⁶)⁻² = n⁻¹²/625 = 1/(625n¹²)

Does Not apply!

e) (25n⁻⁶)²

This becomes

(25²)(n⁻⁶)² = 625n⁻¹² = 625/n¹²

This applies!

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Answer:

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Step-by-step explanation:

3 0
3 years ago
£360 is shared between Abby, ben, chloe and denesh. the ratio of the amount abby gets to the amount that ben gets is 2:7. chloe
Gwar [14]

Answer:

210 £

Step-by-step explanation:

Let amount that abby gets=x

Given that \frac{Amount\ of\ abby}{Amount\ of\ Ben} =\frac{2}{7}

Amount\ of\ ben=\frac{7}{2}\times Amount\ of\ abby\\ =\frac{7}{2}\ x

Amount of chole + amount of Danesh =1.5\timesof abby

                                                                      =1.5 \ x

x +\frac{7}{2} \ x + 1.5 \ x =360\\\\6x=360\\\\x=\frac{360}{6}\\\\x=60

Amount\ of\ Ben =\frac{7}{2}\ x = \frac{7}{2} \times 60\\\\=7\times 30\\\\=210

6 0
4 years ago
1. since A^2= 36x^2, a=?<br> 2. since b^2= 49, b=?
Wewaii [24]

Answer:

D

Step-by-step explanation:

36x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

36x² - 49

= (6x)² - 7²

= (6x - 7)(6x + 7)

Thus 6x - 7 is a factor of the expression

7 0
3 years ago
Read 2 more answers
Tim and Tom are painters. Tim and Tom use a liters of paint on a large shipping crate. If the next crate they need to paint is s
antiseptic1488 [7]
This is the concept algebra.
Volume of of paint that is required to paint  large shipping crate is a liters.
suppose the volume of this crate is x cubic units.
The volume of the next crate to be painted will be 2x cubic units.
Hence the amount of paint required to paint the crate will be:
(volume of bigger crate)/(volume of smaller crate)×(volume of liters required to paint the first crate)
=(2x)/(x)×a
=2a liters
To paint the new crate 2a liters of oil is needed.
5 0
4 years ago
A mirror should be centered on a wall. The mirror is 4 feet wide and the wall is 20 feet wide. Which equation helps determine th
Alinara [238K]
A.) x+4+x=20 should be the answer
7 0
3 years ago
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