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

This is what we are asked to do and an example of the different laws is what I posted have posted below. I need the response to be at least 100 words please.

In section 10.2, we were introduced to 5 laws of exponents. One of these laws is that when we multiply two numbers with exponents, if the bases are the same, the base will stay the same but the exponents will be added. The exponents can be the same or different, negative or positive. Here is an example:

5² * 5³ = 5^5

This is true because 2 + 3 = 5. Just in case, we can double check by mathematically working out the problem.

5² = 25

5³ = 125

25 * 125 = 3125

5^5 = 3125

3125 = 3125

This can also work with rational-number exponents.

3125^½ + 3125^1/3 = 3125^1/5 = fifth root of 3125 = 5

Another law is the law that when a product of numbers within parentheses is raised to a power, each factor within the parentheses can be raised to that power. Here is an example:

(6*8)³ = 6³ * 8³

Here is how we can check this problem:

6 * 8 = 48

48³ = 110592

6³ = 216

8³ = 512

216 * 512 = 110592

110592 = 110592

This also works for rational-number exponents.

(4*16)^½ = 4^½ * 16^½ = square root of 4 * square root of 16 = 2 * 4 = 8

Now, simplify this rational exponent:

1296^¼

This is what we are asked to do and an example of the different laws is what I posted have posted below. I need the response to be at least 100 words please.

In section 10.2, we were introduced to 5 laws of exponents. One of these laws is that when we multiply two numbers with exponents, if the bases are the same, the base will stay the same but the exponents will be added. The exponents can be the same or different, negative or positive. Here is an example:

5² * 5³ = 5^5

This is true because 2 + 3 = 5. Just in case, we can double check by mathematically working out the problem.

5² = 25

5³ = 125

25 * 125 = 3125

5^5 = 3125

3125 = 3125

This can also work with rational-number exponents.

3125^½ + 3125^1/3 = 3125^1/5 = fifth root of 3125 = 5

Another law is the law that when a product of numbers within parentheses is raised to a power, each factor within the parentheses can be raised to that power. Here is an example:

(6*8)³ = 6³ * 8³

Here is how we can check this problem:

6 * 8 = 48

48³ = 110592

6³ = 216

8³ = 512

216 * 512 = 110592

110592 = 110592

This also works for rational-number exponents.

(4*16)^½ = 4^½ * 16^½ = square root of 4 * square root of 16 = 2 * 4 = 8

Now, simplify this rational exponent:

1296^¼

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