Advertisements
Advertisements
Question
Express the following rational numbers with a positive exponent:
Advertisements
Solution
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2} \]
\[ = \left( \frac{3}{2} \right)^{4 \times - 2} \]
\[ = \left( \frac{3}{2} \right)^{- 8} \]
\[ = \left( \frac{2}{3} \right)^8\] → ((am)n = amn)
APPEARS IN
RELATED QUESTIONS
Evaluate.
3−2
Simplify:
Express the following as a rational number in the form \[\frac{p}{q}:\]
Simplify:
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 \[\left( \frac{- 4}{7} \right)^{- 1} ?\]
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
Which of the following is not reciprocal of \[\left( \frac{2}{3} \right)^4 ?\]
Find the value of (2−1 × 4−1) ÷2−2.
Find the multiplicative inverse of the following.
2– 4
