Answer:
a. 10a + 8a²
c. 12z + 3z²
e. -20 + x + x²
g. -64 + 9z⁴
i. y¹⁰⁰¹ + 8y¹³²⁰⁰
Step-by-step explanation:
According to the Six Exponential Rules, whenever you divide terms, you subtract the exponents, and of course whenever you multiply terms, you add the exponents.
a. The variables have an invisible degree term of 1, so when multiplied, you get 8a².
c. ⅛ of 24 and 96 means dividing both numbers by its multiplicative inverse, which is 8: ⅛[24] → 24 ÷ 8; 3; ⅛[96] → 96 ÷ 8; 12. Then of course, you still have to follow the exponential procedure.
e. This is just like the Quadratic Equation, y = <em>Ax² + Bx + </em><em>C</em>. All you have to do is do what I like to call FOIL:
F - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT
O [Outermost] - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT
I [Innermost] - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT
L - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT
Doing this will give you the above answer.
g. See explanation letter <em>e</em><em>.</em>
i. Now, as I mentioned before, when you multiply terms, you add the exponents. In addition, that decimal in the far right corner, is equivalent to ⅛, and ⅛ of 8 is 1, so we know that 1 is our INVISIBLE coefficient next to the <em>y</em><em>,</em><em> </em>then you just add 1 to 1000 in the exponents because of the invisible degree of 1.
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
**I have a video that talks about the Six Exponential Rules. It is titled "Six Exponential Procedures". Go check out the channel to watch it and gain more assistance.
