240 feet because there are 3 ft in a yard 3 times 80 is 240
<span>f(x)=2x
f(1)=2*1=2
f^2(1)=2*2*1=4
f^3(1) =2*2*2*1=8
1. If you
continue this pattern, what do you expect would happen to the numbers as
the number of iterations grows?
I expect the numbers continue growing multiplying each time by 2.
Check your result by conducting at
least 10 iterations.
f^4(1) = f^3(1) * f(1) = 8*2 = 16
f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32
f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64
f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128
f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256
f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512
f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024
2. Repeat the process with an initial value of −1.
What happens as the number of iterations grows?
f(-1) = 2(-1) = - 2
f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4
f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8
f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16
f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32
As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
</span>
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.
To learn more about exponents visit:
brainly.com/question/15993626
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Answer:
To divide two fractions, flip the second fraction and change the operation from division to multiplication. Therefore, there are 20 fifths in four wholes
(A)
