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Simplify : ( 3x^2 )^(-3) Xx ( X^9 )^(2/3) - Mathematics

Sum

Simplify :
`( 3x^2 )^(-3) xx ( x^9 )^(2/3)`

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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`

Concept: Laws of Exponents
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (A) | Q 2.4 | Page 98
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