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Problem 72

Simplify (a) \(2^{3} \cdot 2^{2}\) (b) \(\mathrm{a}^{3} \cdot \mathrm{a}^{5}\) (c) \(x^{6} \cdot x^{4}\)

Expert verified

(a) \(2^{5}\)
(b) \(a^{8}\)
(c) \(x^{10}\)

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Chapter 6

Determine the value of: $\left(5^{3 / 4} 5^{2 / 3} 5^{-5 / 2} 5^{5 / 3}\right) /\left(5^{1 / 3} 5^{-5 / 2} 5^{7 / 4}\right)$

Chapter 6

Simplify \([1600 \times 10,000 / 2000]^{1 / 3}\)

Chapter 6

Simplify (a) \(3^{-2}\) (b) \(1 / 5^{-2}\)

Chapter 6

Simplify the following expressions: (a) \(-3^{-2}\) (b) \((-3)^{-2}\) (c) \(-3 / 4^{-1}\)

Chapter 6

Write the expression \(\left(\mathrm{x}+\mathrm{y}^{-1}\right)^{-1}\) without using negative exponents.

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