Answer:
The equation is following the mathematical rule of multiplying exponents.
Step-by-step explanation:
As an example to back up the answer, when you have half of a dollar, that is $0.50, if you took a half (1/2) of $0.50 that would be one fourth (1/4) of a dollar, but half of 50 cents ($0.50) A similar thing is happening with this problem. When you have two numbers (2 and 4) when you multiply them together, they equal to eight (8) for this problem, when you multiply two exponents together, you are raising the coefficient (a real number like 6) to the power of 2, and then taking that number and multiplying it by the power of 4. This is similar to the half of 50 cents, is equal to 1/4 of dollar ($0.25)
Hope this helps explain multiplying exponents together, and the mathematical rule behind it.
Answer:
A
Step-by-step explanation:
So we have the equation:
First, let's subtract 16 from both sides:
Now, let's divide both sides by 3:
Remember that with fractional exponents, we can move the denominator into the root position. Therefore:
![(\sqrt[3]{x-4})^4=16](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx-4%7D%29%5E4%3D16)
Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!
![\sqrt[3]{x-4} =\pm 2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-4%7D%20%3D%5Cpm%202)
Cube both sides. Since we're cubing, the plus-minus stays.
Add 4 to both sides.
Calculator:
So, our answer is A.
And we're done!
Answer
0.
y does not increase so it is 0
The difference is 3ft since the surface area for the prism is 57, and the surface area for the cube is 54.
You can use the surface area formula
2(wl+hl+hw) = Area
2·(3·4.5+2·4.5+2·3)=57
And a cubes surface area formula
6a^2 = Area
6·32=54
