Verified answer

√ ( 45 x^3 ) / √ ( 5 x^7 )

= √ ( 9 • 5 • x^2 • x ) / √ ( 5 • x^3 • x^3 • x )

= 3x √ ( 5x ) / x^3 √ ( 5x )

= 3x / x^3

= 3 / x^2

= 3x^-2

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First reduce: sqrt(45x^3)/sqrt(5x^7) = sqrt(9/x^4) = sqrt9/sqrt(x^4) = 3/x^2

Jen