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Scott-if possible-----Week 5 Discussion Question...

Scott-if possible-----Week 5 Discussion Question:

Review section 10.2 (p. 692) of your text. Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide the class with a third expression to simplify that includes rational (fractional) exponents.

Consider responding to classmates who have chosen laws different from the ones you selected. Ask clarifying questions of your classmates to make sure you understand the laws. Practice simplifying your classmates’ expressions.

My answer was..

Rule 1: for powers of powers

x^m^n = x^(m*n)

You multiply the powers together.

An example:

x^3^4 = x^(3*4) = x^12

Rule 2: for multiply of like bases

m^a * m^b = m^(a+b)

You add the powers together.

An example:

3^2 * 3^8 = 3^(2+8) = 3^10

For rational exponents, the rules are the same.

For example (for the classmates to solve):

5^1/3 * 5^5/3

Solution:

5^(1/3 + 5/3) = 5^2 = 25

Here is a classmates response that I need to respond to...

The two laws that I decided to describe is the multiplication law and the dividing law. With the multiplying law, we can add exponents if the base are the same. When you multiply the two exponential terms with the same base, you actually add the exponent. Example: a^x * a^y = a^(x+y). This rule only applies if you have the same base.The division law, you subtract the exponents if the bases are the same. For example: a^x / a^y = a^(x-y). Same with the multiplication rule you can only do this if the bases are the same.

Here are some problems for you to try and figure out:

5^2 * 5^4 =

3^4 * 3^3 =

2^2 / 2^2 =

5^6 / 5^3 =

Review section 10.2 (p. 692) of your text. Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide the class with a third expression to simplify that includes rational (fractional) exponents.

Consider responding to classmates who have chosen laws different from the ones you selected. Ask clarifying questions of your classmates to make sure you understand the laws. Practice simplifying your classmates’ expressions.

My answer was..

Rule 1: for powers of powers

x^m^n = x^(m*n)

You multiply the powers together.

An example:

x^3^4 = x^(3*4) = x^12

Rule 2: for multiply of like bases

m^a * m^b = m^(a+b)

You add the powers together.

An example:

3^2 * 3^8 = 3^(2+8) = 3^10

For rational exponents, the rules are the same.

For example (for the classmates to solve):

5^1/3 * 5^5/3

Solution:

5^(1/3 + 5/3) = 5^2 = 25

Here is a classmates response that I need to respond to...

The two laws that I decided to describe is the multiplication law and the dividing law. With the multiplying law, we can add exponents if the base are the same. When you multiply the two exponential terms with the same base, you actually add the exponent. Example: a^x * a^y = a^(x+y). This rule only applies if you have the same base.The division law, you subtract the exponents if the bases are the same. For example: a^x / a^y = a^(x-y). Same with the multiplication rule you can only do this if the bases are the same.

Here are some problems for you to try and figure out:

5^2 * 5^4 =

3^4 * 3^3 =

2^2 / 2^2 =

5^6 / 5^3 =

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