On a day wilderness expedition you'll need to heat of water to the boiling point each day. The air temperature will average . Yo
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Answer:
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
We can simply observe that.
- 0.777... is rational, because it is a number with infinite but repeating decimal part.
- 1/3 is rational, because it's the division between two integers
, so this is rational as well.
Since the product of two rational numbers is always rational, we have that
are all rationals, since they are the product of two rationals.
On the other hand, we have
and thus
which is irrational.
Answer:
Step-by-step explanation:
Expand with the distributive rule:
Add 4/3 to both sides:
Subtract 4x from both sides