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.

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

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

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