Explanation Given: The given equation to be solved is [ u 9 = 512 ] . Power rule: This rule is applied for exponential number with a power that has an exponential power. When an exponential number with a power has raised to a certain power, the resultant would be the multiplication of their powers over the base. For example, ( x m ) n = x m × n Basic of nth roots: A n th root of a given number is the number which is multiplied by itself n th times to give a resultant as the given number. The symbol to represent the square root is n . For example, x is nth root of x when ( n = 2 ) , x 5 is nth root of x when ( n = 5 ) , or x 8 is nth root of x when ( n = 8 ) . The given equation is, u 9 = 512 (I) Take the nth root in the given equation where ( n = 9 ) . ( u 9 ) 1 / 9 = ( 512 ) 1 / 9 Use power rule...

Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)

7th Edition

ISBN: 9780134705187

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Chapter 4.B, Problem 49E

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The solution of the equation $[u^{9} = 512]$ by using the four basic rules of Algebra.

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Chapter 4.B, Problem 48E

Chapter 4.B, Problem 50E

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Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)

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The solution of the equation [ u 9 = 512 ] by using the four basic rules of Algebra.

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The solution of the equation $[u^{9} = 512]$ by using the four basic rules of Algebra.