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.

Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
4. 10x + 30 = 90
10x = 60
x = 6
complementary
5. 4x + 40 + 3x = 180
7x + 40 = 180
7x = 140
x = 20
supplementary
-2x^2 + 5x -3 =0
Find the discriminate:
In the given formula a = -2, b = 5 and c = -3
The discriminate is found using the formula b^2 - 4(ac)
Replace the letters with their values:
5^2 - 4(-2*-3)
25 - 4*6
25-24 = 1
When the discriminate is greater than or equal to 0, there are two real solutions.
The answer is c) 2