Related InterviewSolutions

• Express each of the following as a product of prime factors only in exponential form: (i) `108 xx 192` (ii) `1270` (iii) `729 xx 64` (iv) `768`
• Express the following numbers in standard form.(i)            0.0000000000085 (ii)          0.00000000000942(iii)         6020000000000000 (iv)         0.00000000837(v)          31860000000
• Express 256 as a power 2.
• Express the following numbers in usual form. (i) `3.02 xx 10^-6` (ii) `4.5 xx 10^4` (iii) `3 xx 10^(-8)` (iv) `1.0001 xx 10^9` (v) `5.8 xx 10^12` (vi) `3.61492 xx 10^6`
• Express `4^(-3)` as a power with the base 2
• Identify the greater number, wherever possible, in each of the following ? (i) `4^3 or 3^4` (ii) `5^3 or 3^5` (iii) `2^8 or 8^2` (iv) `100^2 or 2^100`
• If `a^x=b, b^y=c and c^z=a` then find the value of xyz
• Find value of `(81)^0.16xx81^(0.09)`
• Find the number from each of the following expanded forms : (a) `8 xx 10^4 + 6 xx 10^3 + 0 xx 10^2 + 4 xx 10^1 + 5 xx 10^0` (b) `4 xx 10^5 + 5 xx 10^3 + 3 xx 10^2 + 2 xx 10^0` (c) `3 xx 10^4 + 7 xx 10^2 + 5 xx 10^0`
• Write exponential form for `8 xx 8 xx 8 xx 8` taking base as `2.`