OpenStax, Algebra and Trigonometry 2e §1.2 Exponents and Scientific Notation · Example 9 · Arithmetic · Exponents & roots

Simplifying Exponential Expressions

Simplify each expression and write the answer with positive exponents only.

ⓐ $(6 m^{2} n^{- 1})^{3}$
ⓑ $1 7^{5} \cdot 1 7^{- 4} \cdot 1 7^{- 3}$
ⓒ $(\frac{u ^{- 1} v}{v ^{- 1}})^{2}$
ⓓ $(- 2 a^{3} b^{- 1}) (5 a^{- 2} b^{2})$
ⓔ $(x^{2} 2)^{4} (x^{2} 2)^{- 4}$
ⓕ $\frac{( 3 w ^{2} ) ^{5}}{( 6 w ^{- 2} ) ^{2}}$

~5 minWritten answer · check your work with Lemma

OpenStax, Algebra and Trigonometry 2e · §1.2 Exponents and Scientific Notation · Example 9

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.