the square root of 3 and the square root of 5 because they are both decimals.
Answer:
Remainder
Step-by-step explanation:
When a number can't be divided equally, there's an amount leftover. The leftover number is called a <em><u>remainder</u></em>
I'm not really great at explaining stuff, but I hope this helps!
change yrds to ft
5yds = 5*3 = 15 ft
5yds 2 ft = 15ft + 2ft = 17 ft
6yds = 6 * 3 = 18 ft
6 yds 1 ft = 18 + 1
19 ft
A = l * w
A = 17* 19
A = 323 ft^2
Choice A
Answer:
![3^{75}](https://tex.z-dn.net/?f=3%5E%7B75%7D)
Step-by-step explanation:
We are asked to divide our given fraction:
.
We will simplify our division problem using rules of exponents.
Using product rule of exponents
we can write:
![45^{45}=(3*15)^{45}=3^{45}*15^{45}](https://tex.z-dn.net/?f=45%5E%7B45%7D%3D%283%2A15%29%5E%7B45%7D%3D3%5E%7B45%7D%2A15%5E%7B45%7D)
![75^{30}=(5*15)^{30}=5^{30}*15^{30}](https://tex.z-dn.net/?f=75%5E%7B30%7D%3D%285%2A15%29%5E%7B30%7D%3D5%5E%7B30%7D%2A15%5E%7B30%7D)
Substituting these values in our division problem we will get,
![\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B45%7D%2A15%5E%7B15%7D%7D%7B5%5E%7B30%7D%2A15%5E%7B30%7D%7D)
Using power rule of exponents
we will get,
![\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B45%2B15%7D%7D%7B5%5E%7B30%7D%2A15%5E%7B30%7D%7D)
![\frac{3^{45}*15^{60}}{5^{30}*15^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B60%7D%7D%7B5%5E%7B30%7D%2A15%5E%7B30%7D%7D)
Using quotient rule of exponent
we will get,
![\frac{3^{45}*15^{60-30}}{5^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B60-30%7D%7D%7B5%5E%7B30%7D%7D)
![\frac{3^{45}*15^{30}}{5^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A15%5E%7B30%7D%7D%7B5%5E%7B30%7D%7D)
Using product rule of exponents
we will get,
![\frac{3^{45}*(3*5)^{30}}{5^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A%283%2A5%29%5E%7B30%7D%7D%7B5%5E%7B30%7D%7D)
![\frac{3^{45}*3^{30}*5^{30}}{5^{30}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B45%7D%2A3%5E%7B30%7D%2A5%5E%7B30%7D%7D%7B5%5E%7B30%7D%7D)
Upon canceling out
we will get,
![3^{45}*3^{30}](https://tex.z-dn.net/?f=3%5E%7B45%7D%2A3%5E%7B30%7D)
Using power rule of exponents
we will get,
![3^{45+30}](https://tex.z-dn.net/?f=3%5E%7B45%2B30%7D)
![3^{75}](https://tex.z-dn.net/?f=3%5E%7B75%7D)
Therefore, our resulting quotient will be
.