Express the Following as a Rational Number of the Form P Q , Where P and Q Are Integers and Q ≠ 0. ( 1 2 ) − 5

Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.

\[\left( \frac{1}{2} \right)^{- 5}\]

Sum

We know that

\[a^{- n} = \frac{1}{a^n}\]

`(1/2)^(-5)=2^5=32`

shaalaa.com

Is there an error in this question or solution?

Evaluate.

3⁻²

Evaluate.

`(1/2)^(-5)`

Simplify and express the result in power notation with positive exponent.

(−4)⁵ ÷ (−4)⁸

Find the value of the following:
3⁻¹ + 4⁻¹

By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]

Write the following in exponential form:

By what number should 5⁻¹ be multiplied so that the product may be equal to (−7)⁻¹?

By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]

By what number should (−15)⁻¹ be divided so that the quotient may be equal to (−5)⁻¹?

if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x⁻².