Alrighty
remember
and
![x^\frac{m}{n}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%5Cfrac%7Bm%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D)
and
![(x^m)^n=x^{mn} and [tex]x^0=1](https://tex.z-dn.net/?f=%28x%5Em%29%5En%3Dx%5E%7Bmn%7D%20and%20%5Btex%5Dx%5E0%3D1)
for all real numbers x
and
b.
=
c.
x^0=1
so
that (x^-3y)^0=1
because exponents first in pemdas
so we are left with
x^2y^-1
3) It's basically asking how many 7 ounce servings can be made out of a 64 ounce container. Divide 64 by 7 and you will get a decimal but their asking for full servings so round down to the closest whole number
Mr. drove 3 times more then Mrs.. ok
so how far Mrs. drove will be X
and Mr. will be Y
but we know that Mr. drove 3 times more then Mrs therefor
Y= 3X
and the Sum = 3,200
3,200=X+Y
3,200= X+(3X)
3,200=4X
div both by 4
800=X
now we know how far Mrs drove now to find Mr.
again "Mr. drove 3 times more then Mrs"
800 * 3 = 2,400
You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard. If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).
This means the other two sides would also be 3 times longer.
6 yards x 3 = 18
8 yards x 3 = 24
To find the area using these dimensions, you will use the formula for finding the area of a triangle.
A = 1/2bh
A = 1/2 x 18 x 24
A = 216 square yards
The area of the backyard is 216 square yards.
