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Simplify : ( 8x^3 ÷ 125y^3 )^(2/3) - Mathematics

Sum

Simplify :
`( 8x^3 ÷ 125y^3 )^(2/3)`

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Solution

`( 8x^3 ÷ 125y^3 )^(2/3)`

= `([ 2x xx 2x xx 2x ]/[5y xx 5y xx 5y ])^(2/3)`

= `[((2x)/(5y))^3]^(2/3)`

= `((2x)/(5y))^( 3 xx 2/3 )`

= `((2x)/(5y))^2`

= `[ (2x)/(5y) xx (2x)/(5y) ]`

= `[4x^2]/[25y^2]`

Concept: Laws of Exponents
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (A) | Q 2.1 | Page 98
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