# The law of exponents

I would like help understanding the following: The law of exponents 1) to raise a power to a power we can multiply the exponents with an example. 2) to raise a product to a power we can mulitply the exponents with an example. please explain how you simplified each example. How do laws work with rational exponents? with a third example to simplify that includes (fractional) exponents. I would really appreciate it any suggestions.

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I would like help understanding the following: The law of exponents 1) to raise a power to a power we can multiply the exponents with an example.

Solution:

When we have expression having raised a power to a power then we can multiply the exponents.

That is

Example:

2) to raise a product to a power we can multiply the exponents with an example.

Solution:

When we have expression having raised a product to an exponent then raise each base of the product to that exponent.

That is

Example:

please explain how you simplified each example. How do laws work with rational exponents? with a third example to simplify that includes (fractional) exponents.

Solution:

The laws of exponents work in the same way for rational exponents.

Example of raise a power to a power:

Â© BrainMass Inc. brainmass.com December 24, 2021, 8:27 pm ad1c9bdddf>https://brainmass.com/math/basic-algebra/law-exponents-278800