Fractional Exponents Revisited Common Core Algebra Ii ~repack~

In Algebra I, we often assume variables represent non-negative numbers. In Algebra II, that safety net is gone. Consider the following simplification:

| Fractional Exponent | Radical Form | Simplified Value (assuming $a \ge 0$) | | :--- | :--- | :--- | | $16^\frac34$ | $(\sqrt[4]16)^3$ | $(2)^3 = 8$ | | $27^-\frac23$ | $\frac1(\sqrt[3]27)^2$ | $\frac1(3)^2 = \frac19$ | | $(-8)^\frac23$ | $(\sqrt[3]-8)^2$ | $(-2)^2 = 4$ | Fractional Exponents Revisited Common Core Algebra Ii

By working through these problems and applying the concepts discussed in this article, you will become proficient in working with fractional exponents and be well-prepared for success in Common Core Algebra II. In Algebra I, we often assume variables represent

This is equivalent to $\log_8 4 = \frac23$. This is equivalent to $\log_8 4 = \frac23$

Isolate the fractional exponent. $$3x^\frac32 = 24 \implies x^\frac32 = 8$$