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MakcuM [25]
2 years ago
12

5^4/5^7 simplified is

Mathematics
2 answers:
Nuetrik [128]2 years ago
5 0

\textbf{Given that,}\\\\~~~\dfrac{5^4}{5^7}\\\\\\=5^{4-7}~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Apply exponent rule:}~\dfrac{a^m}{a^n} = a^{m-n}\\\\\\=5^{-3}\\\\\\=\dfrac 1{5^3}~~~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Apply exponent rule:}~ a^{-n} = \dfrac 1 {a^n},~~~a \neq 0 \\\\\\=\dfrac 1{125}\\\\\\=0.008

Zielflug [23.3K]2 years ago
5 0

Answer:

\frac{1}{125}

Step-by-step explanation:

1.apply \: exponent \: rules :   \frac{ {x}^{a} }{ {x}^{b} }  =   {x}^{a - b}

=  {5}^{4 - 7}

2.subtract \: the \: number : 4 - 7 =  - 3

=  {5}^{ - 3}

3.apply \: exponent \: rule :  {a}^{ - b}  =  \frac{1}{  {a}^{b}  }

=  \frac{1}{ {5}^{3} }

4. \:  {5}^{3}  = 125

=  \frac{1}{125}

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Answer:

d

Step-by-step explanation:

So the problem states,

52 = 36 + 4x

16 = 4x

x = 4 (must be less than or equal to)

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3 years ago
Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin str
V125BC [204]

Answer:

<em>x = 10; y = 20</em>

Step-by-step explanation:

8x + y = 100     (alternate exterior angles are congruent)

4x + y = 60       (corresponding angles are congruent)

Subtract the second equation from the first equation.

4x = 40

x = 10

Substitute x = 10 in first equation and solve for y.

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3 0
3 years ago
The table shows the battery life of four different mobile phones. Mobile Phone Battery Life Phone Battery Life (hours) A 20 B 25
Aliun [14]
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4 0
3 years ago
Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map
Drupady [299]

Answer:

The perimeter is 14 units

<em></em>

Step-by-step explanation:

Given

A = (-2,2)

B = (1,2)

C = (1,-2)

D = (-2,-2)

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

For AB

A = (-2,2) --- (x_1,y_1)

B = (1,2) --- (x_2,y_2)

AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3

For BC

B = (1,2) --- (x_1,y_1)

C = (1,-2) --- (x_2,y_2)

BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4

For CD

C = (1,-2) --- (x_1,y_1)

D = (-2,-2) --- (x_2,y_2)

CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3

For DA

D = (-2,-2) --- (x_1,y_1)

A = (-2,2)  --- (x_2,y_2)

DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4

So, the perimeter (P) is:

P = AB + BC + CD + DA

P = 3 +4 + 3 + 4

P = 14

<em>The perimeter is 14 units</em>

5 0
3 years ago
Please help me with this I will give you brainliest
Agata [3.3K]

Answer:

no it is not

Step-by-step explanation:

Let's use the Pythagorean theorem for this

a^2+b^2=c^2

60^2+63^2=88^2

3600+3969=7744

7569≠7744

This means that this triangle isn't a right triangle

7 0
3 years ago
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