Express the Following as a Rational Number of the Form P Q , Where P and Q Are Integers and Q ≠ 0. ( 2 3 ) − 2

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

\[\left( \frac{2}{3} \right)^{- 2}\]

योग

We know that

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

`(2/3)^(-2)=(3/2)^(2)=9/4`

shaalaa.com

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Find the value of `{((-2)/3)^(-2)}^2`

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

Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]

Express the following rational numbers with a negative exponent:

Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]

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

\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to

Find the multiplicative inverse of the following.
10^{– 5}

The multiplicative inverse of 10^–100 is ______.

The expression for 4^–3 as a power with the base 2 is 2⁶.