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)`
Advertisements
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
Solve for x : 22x+1 = 8
Solve for x: `4^(x-1) × (0.5)^(3 - 2x) = (1/8)^-x`
If 5x + 1 = 25x - 2, find the value of 3x - 3 × 23 - x.
Evaluate : `[(-2/3)^-2]^3 xx (1/3)^-4 xx 3^-1 xx 1/6`
Simplify : `[ 3 xx 9^( n + 1 ) - 9 xx 3^(2n)]/[3 xx 3^(2n + 3) - 9^(n + 1 )]`
If m = `root(3)(15) and n = root(3)(14), "find the value of " m - n - 1/[ m^2 + mn + n^2 ]`
If `root(x)("a") = root(y)("b") = root(z)("c")` and abc = 1, prove that x + y + z = 0
Find the value of 'a' and 'b' if:
92a = `(root(3)(81))^(-6/"b") = (sqrt(27))^2`
Find the value of 'a' and 'b' if:
`(sqrt243)^"a" ÷ 3^("b" + 1)` = 1 and `27^"b" - 81^(4 -"a"/2)` = 0
Prove the following:
(xa)b-c x (xb)c-a x (xc)a-b = 1
