Advertisements
Advertisements
Question
Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
Solution
`(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
= `(2/1)^(2)+(3/1)^(2)+(4/1)^(2)` `(thereforea^(-m)=1/a^m)`
= 22 + 32 + 42
= 4 + 9 + 16
= 29
APPEARS IN
RELATED QUESTIONS
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0. (−4)−2
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
Express the following rational numbers with a negative exponent:
Simplify:
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) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
Expand the following numbers using exponents.
1025.63
Expand the following numbers using exponents.
1256.249
