Answer:
I hope whoever that is answers
Step-by-step explanation:
The answer is 10 2/3 because 3/4 equals .75. 8 divided by .75 equals 10 2/3
1 hundredth is equal to 0.01 therefore 20 hundredths is equal to 0.2. 1
thousandth is equal to 0.001 therefore 2 thousandths is equal to 0.002.
Clearly these are not equivalent.
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So, we are given 5^8. It was happy and content. But then... we had to write it as a quotient of two exponential terms with the same base in four different ways and use negative or zero exponents and ahhhhhh!!!
... anyways...
We'll build a quotient of two exponential terms with the same base 5. Something like this:
5^a / 5^b
We need them to make 5^8 when we are done. I'll first use a zero exponent.
[1] Now, zero exponents are nice since they make things equal 1. Like 5^0 = 1. Well, obviously, 5^8 / 1 = 5^8. So, our first quotient can be:
5^8 / 5^0
Done.
[2] Let's try this on its head. This one's a little weird. Remember that negative exponents flip things upside down. So 5^-8 = 1/5^8 and 1/5^-8 = 5^8 for example. In fact... that's the answer!
5^0 / 5^-8 = 5^8
Done.
[3] Let's try to not use 0s or 8s. We can be clever and do something like this:
5^-1 / 5^-9
What the heck is that? Well, we just flip them and get:
5^-1 / 5^-9 = 5^9 / 5^1 = 5^8
Done.
[4] Can you come up with one last trick on your own? Try it!
Pretty sure its D. because it is not a one to one ratio but it doesn't necessarily have to pass through the origin.
