In Exercises 33 – 37, simplify each exponential expression.
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EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
- For Exercises 49–52, rewrite the equation so that the coefficient on x is positive.arrow_forwardMake Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. Knowing the difference between factors and terms is important: In (3x?y)“, I can distribute the exponent 2 on each factor, but in (3x² + y)', I cannot do the same thing on each term. 136. I used the FOIL method to find the product of x + 5 and x + 2x + 1. 137. Instead of using the formula for the square of a binomial sum, I prefer to write the binomial sum twice and then apply the FOIL method. 138. Special-product formulas have patterns that make their multiplications quicker than using the FOIL method.arrow_forwardIn Exercises 7–12, describe the relationship between the two quantities.arrow_forward
- For Exercises 19–22, write each expression as a product. (See Example 3) 20. sin 30+ sin 100arrow_forwardRationalize the numerator of x+10 – 100 Paragraph A.arrow_forwardIn Exercises 132–137, factor each polynomial. Assume that all variable exponents represent whole numbers. 132. 9x2" + x" – 8 133. 4x2n – 9x" + 5 134. an+2 – a"+2 – 6a? 135. b2n+2 + 3b"+2 10b2 136. 3c"+2 10c"+1 + 3c" 137. 2d"+2 5d"+1 + 3d"arrow_forward
- In Exercises 129–132, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 129. 9x? + 15x + 25 = (3x + 5) 130. x - 27 = (x – 3)(x² + 6x + 9) 131. x³ – 64 = (x – 4)3 132. 4x2 – 121 = (2x – 11)arrow_forwardEvaluate ( 1 - i ) -1/2arrow_forwardWrite 3 + 5 +7 + 9 using sigma notationarrow_forward
- In Exercises 117–124, simplify each exponential expression. 9y* 117. 7x3 118. -3 + 119. -3\3 ху 120. 4,-1 -3. 121. (-4x³y$)(2x ®y5) 122. (-4x4y) (-2r'y-) 123. (3xy?)'(2x?y)2 (xy²)-{(x?y>y° 124.arrow_forwardIn Exercises 106–108, factor and simplify each algebraic expression. 106. 16x + 32r4 107. (x² – 4)(x² + 3) - (r? – 4)°(x² + 3)2 108. 12x+ 6xarrow_forwardPlease explain how to do this 13arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage