N2C10TNp7

Answer to Problem 7:

1.

 (x + 3)² = 16                  

2.

The cube root of 27 is 3.  Therefore 2x – 5 will equal 3. 

(2x – 5)³  = 27

DEFINITIONS:

properties of exponents:   rules applied when operations are performed on algebraic expressions and equations containing exponents. [1] In general:

a⁰ = 1, a≠ 0 , a^m a^{n =} a^m+n, (ab) ⁿ = aⁿ bⁿ, (a^m) ⁿ= a^mn, etc.

3x³y² +  4x³y² = 7x³y² ; 3x³y²( 4x³y² )= 12x⁶y⁴;

(3x³y² )³ = 27 x⁹y⁶, etc

[1] Bellmann, A., Bragg, S., Charles, R., Handlin, W., Kennedy, D.(2004); Prentice Hall Algebra 2, p. 362,  Upper Saddle River, New York, Pearson Education, Inc.