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Problem 76

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

Expert verified

The simplified expression without negative exponents is \(\frac{\mathrm{y}}{\mathrm{xy}+1}\).

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Chapter 6

Perform the indicated operations: \(\left(7 \cdot 10^{5}\right)^{3} \cdot\left(3 \cdot 10^{-3}\right)^{4}\)

Chapter 6

Simplify the quotient $\left(\mathrm{x}^{-2} \mathrm{y}^{4}\right)^{3} /(\mathrm{xy})^{-3}$

Chapter 6

Use the theorems on exponents to perform the indicated operations: (a) \(5 \mathrm{x}^{5} \cdot 2 \mathrm{x}^{2}\) (b) \(\left(x^{4}\right)^{6}\) (c) \(8 \mathrm{y}^{8} / 2 \mathrm{y}^{2}\) (d) \(\left(\mathrm{x}^{3}\right.\) \(\left./ x^{6}\right)(7 / x)^{2}\)

Chapter 6

Determine the value of \((0.0081)^{-3 / 4}\).

Chapter 6

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

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