Advertisements
Advertisements
Question
Express the following rational numbers with a negative exponent:
\[\left( \frac{3}{5} \right)^4\]
Sum
Advertisements
Solution
\[ \left( \frac{3}{5} \right)^4 \]
\[ = \left( \frac{5}{3} \right)^{- 4} \left[ \because a^{- n} = \frac{1}{a^n} \right]\]
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate.
3−2
Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
\[\left( \frac{2}{3} \right)^{- 2}\]
Find the value of the following:
(5−1 × 2−1) ÷ 6−1
Simplify:
\[\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}\]
Which of the following is not reciprocal of \[\left( \frac{2}{3} \right)^4 ?\]
\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] is equal to
For a non-zero rational number a, a7 ÷ a12 is equal to
Express 3–5 × 3–4 as a power of 3 with positive exponent.
