Advertisements
Advertisements
Question
Evaluate:
`7^0 xx (25)^(-3/2) - 5^(-3)`
Advertisements
Solution
`7^0 xx (25)^(-3/2) - 5^(-3)`
= `7^0 xx ( 5 xx 5 )^( -3/2 ) - 5^( -3 )`
= `7^0 xx (5^2)^(-3/2) - 1/5^3`
= `7^0 xx [(5)^[2 xx (-3/2)]] - 1/5^3`
= `7^0 xx 5^(-3) - 1/5^3`
= `1 xx 5^(-3)- 1/5^3`
= `1/5^3 - 1/5^3`
= 0
APPEARS IN
RELATED QUESTIONS
Evaluate:
`( 27/125 )^(2/3) xx ( 9/25 )^(-3/2)`
Simplify :
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
Simplify:
`[ 5^( n + 3 ) - 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2 ]`
Evaluate:
`(27/8)^(2/3) - (1/4)^-2 + 5^0`
Simplify the following and express with positive index :
`(3^-4/2^-8)^(1/4)`
If 1960 = 2a. 5b. 7c, calculate the value of 2-a. 7b. 5-c.
Simplify:
`( x^a/x^-b )^( a^2 - ab + b^2 ) xx ( x^b/x^-c )^( b^2 - bc + c^2 ) xx ( x^c/x^-a )^( c^2 - ca + a^2 )`
Evaluate the following: `(2^3)^2`
Find the value of 10−3.
Find the value of (23)2.
