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 : 8 x 22x + 4 x 2x + 1 = 1 + 2x
Solve for x : 3(2x + 1) - 2x + 2 + 5 = 0
Evaluate the following:
`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`
Evaluate the following:
`16^(3/4) + 2(1/2)^-1 xx 3^0`
Evaluate the following:
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
Solve for x:
3 x 7x = 7 x 3x
Solve for x:
2x + 3 + 2x + 1 = 320
Solve for x:
`"p"^-5 = (1)/"p"^(x + 1)`
If 2250 = 2a. 3b. 5c, find a, b and c. Hence, calculate the value of 3a x 2-b x 5-c.
Find the value of 'a' and 'b' if:
92a = `(root(3)(81))^(-6/"b") = (sqrt(27))^2`
