EXPS 1 | Lesson 2 | Explore

What Do You Notice? 

Complete the table below paying attention to the patterns you discover (complete Lesson 1 for information on expressions with integer exponents).

Exponential Form Expanded FormSimplified Form
\(5^2\cdot5^3\)
\(x^3\cdot x^4\)
\(3x^2\cdot2x^4\)
\(5x^3\cdot 3x^{-2}\)
\((3^2)^4\)
\((x^3)^2\)
\((2x^3)^2\)
\((2x^2y^3)^3\)
\(\bigg(\dfrac{3x}{y^2}\bigg)^3\)

What patterns do you notice?

How could you generalize these patterns?


Check your Solutions here.

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