Advertisements
Advertisements
प्रश्न
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4)` = ______
विकल्प
`(10^3)/(3^3)`
`(10^5)/(3^5)`
`(10^2)/(3^2)`
`(10^6)/(3^6)`
Advertisements
उत्तर
`(10^6)/(3^6)`
Explanation;
Hint:
`(0.000729)^((-3)/4) xx (0.09)^((-3)/4) = (0.000729 xx 0.09)^((-3)/4)`
= `(729 xx 10^(-6) xx 9 xx 10^(-2))^((-3)/4)`
= `[(9 xx 729) xx 10^(-8)]^((-3)/4)`
= `(3^8 xx 10^(-8))^((-3)/4)`
= `3^(8 xx (-3)/4) xx 10^(-8 xx (-3)/4)`
= 3−6 × 106
= `(10^6)/(3^6)`
APPEARS IN
संबंधित प्रश्न
Divide and write the answer in simplest form.
`sqrt98 ÷ sqrt 2`
Divide and write the answer in simplest form.
`sqrt 125 ÷ sqrt 50`
Divide and write the answer in simplest form.
`sqrt 310 ÷ sqrt 5`
Simplify.
`sqrt 216 - 5 sqrt 6 +sqrt 294 -3/sqrt6`
Simplify.
`2 sqrt 48 - sqrt 75 - 1/ sqrt 3`
Simplify the following using addition and subtraction properties of surds:
`5sqrt(3) + 18sqrt(3) - 2sqrt(3)`
Simplify the following using addition and subtraction properties of surds:
`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`
Simplify the following using multiplication and division properties of surds:
`sqrt(3) xx sqrt(5) xx sqrt(2)`
Which of the following statement is false?
The length and breadth of a rectangular plot are 5 × 105 and 4 × 104 metres respectively. Its area is ______
