Advertisements
Advertisements
Question
Evaluate the following:
`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`
Sum
Advertisements
Solution
`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`
= `3^(2 xx 5/2) - 3 xx 1 - (1/81)^((-1)/2)`
= `3^5 - 3 - 9^(2 xx 1/2)`
= 243 - 3 - 9
= 231.
shaalaa.com
Solving Exponential Equations
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find x, if : 42x = `1/32`
Evaluate : `4/(216)^(-2/3) + 1/(256)^(-3/4) + 2/(243)^(-1/5)`
Evaluate the following:
`(2^3 xx 3^5 xx 24^2)/(12^2 xx 18^3 xx 27)`
Evaluate the following:
`(4^3 xx 3^7 xx 5^6)/(5^8 xx 2^7 xx 3^3)`
Evaluate the following:
`(1 - 15/64)^(-1/2)`
Evaluate the following:
`(8/27)^((-2)/3) - (1/3)^-2 - 7^0`
Solve for x:
`sqrt((8^0 + 2/3)` = (0.6)2-3x
If x = `3^(2/3) + 3^(1/3)`, prove that x3 - 9x - 12 = 0
If ax = by = cz and abc = 1, show that
`(1)/x + (1)/y + (1)/z` = 0.
Find the value of 'a' and 'b' if:
92a = `(root(3)(81))^(-6/"b") = (sqrt(27))^2`
