Advertisements
Advertisements
Question
Cube of \[\frac{- 1}{2}\] is
Options
- \[\frac{1}{8}\]
- \[\frac{1}{16}\]
- \[- \frac{1}{8}\]
- \[\frac{- 1}{16}\]
MCQ
Sum
Solution
` (-1)/8`
The cube of a number is the number raised to the power of 3. Hence the cube of −1/2 is \[\frac{( - 1 )^3}{2^3}\] → ( (a/b)n = (an)/(bn)
\[= \frac{- 1}{8}\]
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Simplify.
`(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`
Write the following in exponential form:
\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1}\]
Express the following rational numbers with a negative exponent:
\[3^5\]
Express the following rational numbers with a negative exponent:
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 3}\]
Express the following rational numbers with a positive exponent:
\[\left\{ \left( \frac{4}{3} \right)^{- 3} \right\}^{- 4}\]
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Find x, if
\[\left( \frac{5}{4} \right)^{- x} \div \left( \frac{5}{4} \right)^{- 4} = \left( \frac{5}{4} \right)^5\]
Find the multiplicative inverse of the following.
10– 5
Express 3–5 × 3–4 as a power of 3 with positive exponent.