I need help with examples for power of a quotient property and property of a negative exponent
Please I really need help
1. check with your textbook, the rules should be there
2. check with your classroom notes, you must have them written down
3. Google your terms like "properties of negative exponents"
Sure, I can help you with that!
The power of a quotient property states that for any real numbers a and b (where b is not equal to zero), and any positive integer n, the following equation holds:
(a/b)^n = a^n / b^n
To understand this property better, let's go through an example:
Example for power of a quotient property:
Let's say we have the expression (8/2)^3.
To apply the power of a quotient property, we can first simplify the numerator and the denominator of the fraction.
8/2 simplifies to 4.
So, now we have 4^3. To evaluate this, we multiply 4 by itself three times.
4^3 = 4 * 4 * 4 = 64.
Therefore, (8/2)^3 is equal to 64.
Now, let's move on to the property of a negative exponent.
The property of a negative exponent states that for any real number a (where a is not equal to zero), and any integer n, the following equation holds:
a^(-n) = 1 / a^n
To better understand this property, let's go through an example:
Example for property of a negative exponent:
Let's say we have the expression 2^(-3).
To apply the property of a negative exponent, we can rewrite 2^(-3) as 1 / (2^3) because -3 is the negative form of 3.
Now, we can evaluate 2^3 which is equal to 8.
So, 2^(-3) is equal to 1 / 8.
I hope these examples help you understand the power of a quotient property and the property of a negative exponent better!