Advertisements
Advertisements
Question
Simplify:
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]
Sum
Advertisements
Solution
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]`= (1/5div1/6)^3` → (a−1 = 1/a)
\[= \left( \frac{6}{5} \right)^3\]
\[= \frac{216}{125}\] →((a/b)n = (an)/(bn))
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the value of (3−1 + 4−1 + 5−1)0
Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
Find x, if
\[\left( \frac{8}{3} \right)^{2x + 1} \times \left( \frac{8}{3} \right)^5 = \left( \frac{8}{3} \right)^{x + 2}\]
Which of the following numbers is not equal to \[\frac{- 8}{27}?\]
(a) \[\left( \frac{2}{3} \right)^{- 3}\]
(b) \[- \left( \frac{2}{3} \right)^3\]
(c) \[\left( - \frac{2}{3} \right)^3\]
(d) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] is equal to
\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] is equal to
\[\left( \frac{- 3}{2} \right)^{- 1}\] is equal to
The expression for 4–3 as a power with the base 2 is 26.
