Question 94 Solve the following- Express 27-64 and -27-64 as powers of a rational number-

∵ 27 = 3 × 3 × 3 = 3^3, ( 27) = ( 3) × ( 3) × ( 3) = ( 3)^3 and 64 = 4 × 4 × 4 = 4^3 ∴27/64 = 3^3/4^3 = (3/4)^4 and 27/64= ( 3)^3/(4)^3 = ( 3/4 ...

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Laws of Exponents for Real Numbers

Question 94 S...

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Question 94

Solve the following:

Express $\frac{27}{64}$ and $\frac{- 27}{64}$ as powers of a rational number.

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Question 94

Solve the following:

Express $\frac{27}{64}$ and $\frac{- 27}{64}$ as powers of a rational number.

27 / 64

- 27 / 64

Which of the following numbers are cubes of rational numbers:
$(i) \frac{27}{64} (i i) \frac{125}{128} (i i i) 0.001331 (i v) 0.04$

\frac{27}{64}, \frac{125}{128}, 0.001331, 0.04

\frac{- 16}{21} \times \frac{14}{5}

\frac{7}{6} \times \frac{- 3}{28}

\frac{- 19}{36} \times 16

\frac{- 13}{9} \times \frac{27}{- 26}

\frac{- 9}{16} \times \frac{- 64}{- 27}

\frac{- 50}{7} \times \frac{14}{3}

\frac{- 11}{9} \times \frac{- 81}{- 88}

\frac{- 5}{9} \times \frac{72}{- 25}

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