Use the rules for radicals to perform the indicated operations. A...

Question

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ∜m/n⁴

Accepted Answer

Perform the following operation and evaluated by applying radical roles in simplification techniques where we have the fifth root of aid to the five. A. Repeat. I'm gonna rewrite this. You can write this as a. to the 5th over B. All raised to the power 1/5. That would be our equivalent exponent to the radical. Now we can split up our fraction here we'll say this is A. To the fifth to the 1/5 over B to the 1/5. Now we have a to the 5th to the 1/5. When we raise exponents with each other, we're just going to multiply them in the same exposure. In other words, we have five times 1/5 which gives us A. To the first or just A. So we have a over B to the 1/5. We can also regard this as a times b. It's the negative 1/5 because we have our bees and 1/5 on the bottom of our fraction. Now we're almost done simplifying. We want to go ahead and get rid of that negative exponent. Let's say we have B to some power -1 is able to be to the -1 5th. Well we can tell that power that we don't know would be four or 5. We can rewrite this as a B to the 4/5 and then on the bottom we will put B because we're dividing two exponents will get B 2, 4/5 minus one which gives us negative 1/5. We can't simplify this any farther. So that means the answer to our problem turns out to be answer B. Okay. I hope to help you solve the problem. Thanks for watching. Goodbye.

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ∜m/n⁴

Key Concepts

Radical Expressions

Properties of Exponents

Simplifying Radicals

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