The value of the exponents in simple exponential form is 
.
The mathematical operation of exponentiation, written as bⁿ, involves the base number (b) and the exponent (or power) number (n). The way to say this word is "b (elevated) to the (power of) n."
- Exponentiation corresponds to repeated base multiplication when n is a positive integer since bⁿ is the outcome of multiplying n bases. The exponent is often displayed to the right of the base as a subscript.
- The phrase "b to the nth power" or simply "b to the nth" is used to refer to bn. Other variations are "b (raised) to the power of n," "the nth power of b," and "b to the power of n" and "b to the nth power,"
The properties of exponents tell us that when the bases are equal then on multiplication the powers are added and on division the powers are subtracted.
![\sqrt[5]{5^y} \cdot(5^4)^3 = 5^{\frac{y+60}{5} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B5%5Ey%7D%20%5Ccdot%285%5E4%29%5E3%20%3D%205%5E%7B%5Cfrac%7By%2B60%7D%7B5%7D%20%7D)
![\sqrt[5]{5^x} \cdot(5^4)^3 = 5^{\frac{x+60}{5} }](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B5%5Ex%7D%20%5Ccdot%285%5E4%29%5E3%20%3D%205%5E%7B%5Cfrac%7Bx%2B60%7D%7B5%7D%20%7D)
Therefore the properties of exponents can be used to find the exponential solutions.
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Step-by-step explanation:
here is the answer hope it helps
Answer:
000, 001,010,011 (the next one would be 100,101....)
Step-by-step explanation:
That's the binary system
If you are not familiar with the Pythagorean theorem, I will write it below to remind you for your future mathmatical endeavours:
c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:
Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.
All you have to do now is solve for a
Step 1 is to divide both sides by 2 to get:
Then just square both sides:
Now you know that the length of the sides are equal to the square root of 2.
Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.
We call a full circle or a full rotation 360 degrees. There's nothing magic
or mathematical about that number. It was invented by people. It could
have been any number they wanted.
But it was a great choice because it has a lot of factors. With 360 degrees
in a full rotation, you can split up a full rotation into 2, 3, 4, 5, 6, 8, 9, 10, 12,
15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, or 180 equal pieces, without
ever slicing up a degree !
