Lesson 3.2: Fractional Exponents and Laws

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10 Questions

What is the result of $83^{rac{1}{2}}$?

2

Which rule can be applied to simplify $(8a^2b^4)^3$?

$(am)^n = amn$

What is the value of $(8a^2b^4)^3$ when expanded?

$8a^6b^{12}$

What operation is involved in finding the result of $83^{rac{1}{3}}$?

Root extraction

What does the expression $(ab)^3$ simplify to?

$a^3b^3$

How does finding the $n$th root before raising to the power $m$ simplify calculations?

It makes calculating easier with smaller numbers

What does $(83)^2$ evaluate to?

$4$

In $(8a^2b^4)^3$, what operation is performed on each item inside the brackets?

Exponentiation

What is $83^{rac{1}{2}}$ equivalent to?

$rac{1}{4}$

Which property of exponents can be used to simplify $(8a^2b^4)^3$?

Power of a Power

Learn about fractional exponents and how they can replace the radical sign in expressing square roots. Explore how fractional exponents make algebraic operations more convenient and easier to follow. Dive into the laws of fractional exponents for a deeper understanding.

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