Advertisements
Advertisements
Question
Evaluate the following:
`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`
Solution
`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`
= `(2^6 xx (2^2)^2 xx (3 xx 5)^3 xx (5^2)^1)/((2^3)^3 xx 5^4 xx 3^3)`
= `(2^(6 + 4) xx 3^3 xx 5^(3 + 2))/(2^9 xx 3^3 xx 5^4)`
= `2^(10 - 9) xx 5^(5 - 4)`
= 2 x 5
= 10.
APPEARS IN
RELATED QUESTIONS
Find x, if : `( sqrt(3/5))^( x + 1) = 125/27`
Solve : 8 x 22x + 4 x 2x + 1 = 1 + 2x
Solve : `(sqrt(3))^( x - 3 ) = ( root(4)(3))^( x + 1 )`
If m ≠ n and (m + n)-1 (m-1 + n-1) = mxny, show that : x + y + 2 = 0
Prove that :
`[ x^(a(b - c))]/[x^b(a - c)] ÷ ((x^b)/(x^a))^c = 1`
If 3x + 1 = 9x - 3 , find the value of 21 + x.
Evaluate the following:
`16^(3/4) + 2(1/2)^-1 xx 3^0`
Solve for x:
22x+1= 8
Solve for x:
22x+3 - 9 x 2x + 1 = 0
Find the value of k in each of the following:
`(1/3)^-4 ÷ 9^((-1)/(3)` = 3k
