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3 years ago

Simplify 5 to the power of negative 2 over 4 to the power of 6?

Mathematics

1 answer:

Naya [18.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

$\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }$

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Simplify by combining like terms on each side of the equation. State your new equation.

vladimir1956 [14]

6x + x + x - 5 - 2 = 8 + 2x + x

combine like terms

8x -7 = 8 +3x

subtract 3x from each side

5x -7 = 8

add 7 to each side

5x = 15

divide by 5

x=3

Answer: 8x -7 = 8 +3x

x=3

6 0

2 years ago

A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in

velikii [3]

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

<h3>What is the Length of an Arc?</h3>

The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}$

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

$\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}$

$= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m$

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

brainly.com/question/1577784

3 0

2 years ago

Is negative 2 greater than, less than or equal to 1/2?

Mice21 [21]

Answer:

Less than :)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How many palimdromic numbers is there between 300 and 400

blagie [28]

A palindrome is something that reads the same forwards and backwards.

If the number is a palindrome and it's between 300 and 400, then the
last digit must also be a ' 3 '.

So all we have left to fill in is the digit in the middle.

There are 10 possibilities for that one ... the digits ' 0 ' through ' 9 '.

So there are <em>10</em> palindromic numbers between 300 and 400.

8 0

2 years ago

Read 2 more answers

-2x - 5y = 13 2x - 5y =17

Flura [38]

{-2x-5y=13

<u>{2x-5y=17 </u>(+)

<em /> -2x+2x-5y-5y=13+17

-10y=30 /:(-10)

y=-3

2x-5y=17

2x-5*(-3)=17

2x+15=17

2x=2

x=1

<em>Solution: (1; -3)</em>

6 0

2 years ago