Can 3 gallons and 5 tons be expressed as a ratio?
2 answers:
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Answer:
We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).
Step-by-step explanation:
For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?
When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.
For this example, I recognize that the power rule of exponents is being used:
So let's apply this rule to the given equation.
(3^5)^4 = (3^4)^5
3^(5*4) = 3^(4*5)
3^20 = 3^20
Now we know both sides of the equation equal 3^20 (or 3486784401).
To compare two fraction we have to make common denominator, then we can compare numerators.
Lets do this
Now we can compare numeratos.
3<5, so 1/2 is greater than 3/10.
Lets do this
Now we can compare numeratos.
3<5, so 1/2 is greater than 3/10.