Advertisements
Advertisements
Question
Simplify :
`( 3x^2 )^(-3) xx ( x^9 )^(2/3)`
Sum
Advertisements
Solution
`( 3x^2 )^(-3) xx ( x^9 )^(2/3)`
= `1/[( 3x^2 )^3 ] xx x^( 9 xx 2/3 )`
= `1/[ 3^3 x^(2 xx 3)] xx x^6`
= `1/[ 27x^6 ] xx x^6`
= `1/27`
shaalaa.com
Laws of Exponents
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate:
`5^(-4) xx ( 125)^(5/3) ÷ (25)^(-1/2)`
Evaluate:
`( 27/125 )^(2/3) xx ( 9/25 )^(-3/2)`
Evaluate:
`7^0 xx (25)^(-3/2) - 5^(-3)`
Simplify :
`( 8x^3 ÷ 125y^3 )^(2/3)`
If 2160 = 2a. 3b. 5c, find a, b and c. Hence calculate the value of 3a x 2-b x 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 )`
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: `(3^2)^2`
Find the value of 10−3.
Find the value of 46 × 4−4.
