Answer:

Step-by-step explanation:
Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.
e.g:

Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:

We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:

Answer:
= 8 in.
Step-by-step explanation:
2in× = 4in²
2in× = 16in
divide both sides by 2.
= 8 in.
Answer:
6-2x+5+4x
Group the similar numbers
2x+11
Step-by-step explanation:
Tyler multiplied the numbers when he should've have grouped the similar numbers together
Answer:
they are equivalent
Step-by-step explanation:
because 4 times 9 is 36 and 4 times 5 is 20 so it is equal to 36+20
Answer:
f(x) = 2x^2 - 6x - 20.
Step-by-step explanation:
(-2, 0) and (5, 0) are 2 zeroes of the function so we can write the function as
f(x) = a(x + 2)(x - 5) where a is a constant.
Now as (4, -12) is a point on the graph:
-12 = a(4 + 2)(4 - 5)
-12 = a * 6 * -1
-6a = -12
a = 2.
So f(x) = 2(x + 2)(x - 5)
f(x) = 2x^2 - 6x - 20.