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Question
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
Sum
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Solution
\[\left( \frac{5}{4} \right)^{- 3} \]
\[ = \left( \frac{4}{5} \right)^3\] → (a−1 = 1/a)
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RELATED QUESTIONS
Find the value of (3−1 + 4−1 + 5−1)0
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
\[\frac{1}{3^{- 2}}\]
Simplify:
\[\left( 4^{- 1} \times 3^{- 1} \right)^2\]
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\[\left( \frac{- 1}{2} \right)^{- 1}\]
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\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]
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\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
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\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 3}\]
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\[\left( \frac{3}{5} \right)^4\]
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Express 3–5 × 3–4 as a power of 3 with positive exponent.
