Express each of the following as a rational number:

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Express each of the following as a rational number: (1)

5^{-3}

(2)

(-2)^{-5}

(3)

\left(\frac{1}{4}\right)^{-4}

(4)

\left(\frac{-3}{4}\right)^{-3}

(5)

(-3)^{-1} \times \left(\frac{1}{3}\right)^{-1}

(6)

\left(\frac{5}{7}\right)^{-1} \times \left(\frac{7}{4}\right)^{-1}

(7)

(5^{-1} - 7^{-1})^{-1}

(8)

\left\{\left(\frac{4}{3}\right)^{-1} - \left(\frac{1}{4}\right)^{-1}\right\}^{-1}

(9)

\left\{\left(\frac{3}{2}\right)^{-1} + \left(\frac{-2}{5}\right)^{-1}\right\}

(10)

\left(\frac{23}{25}\right)^0