Concept explainers
For Exercises 15–64, use the properties of exponents to simplify each expression. (See Example 3)
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- Section 2.0 #70 Simplify and write the following exponents using fractional or integer exponents: (√x2)6arrow_forwardEvaluatearrow_forwardExercise 4.5 1 Simplify each expression: There should be no negative exponents in the final answer.) (a) 5x4 (6x-6) b) 7x-3(8x4) d) 48x3 (10) 12x (10-2) f) + (5xy)-¹× 5(xy)-1 x a4 a4 )4a6b-4(5a-3b-2)2 7xy-11-2 3-1xy 18) 13-2 x 169 × Simplify: (Write all thearrow_forward
- In Exercises 83–100, use the order of operations to simplify each expression. 83. 4(-5) – 6(-3) 84. 8(-3) – 5(-6) 85. 3(-2)? – 4(-3)² 86. 5(-3)2 – 2(-2)2 87. 82 – 16 + 2² .4 – 3 88. 10 - 100 + 52.2 - 3 5.2 - 32 10 + 2 + 3.4 90. (12 – 3.2) 89. [3 - (-2) 91. 8 - 3[-2(2 - 5) – 4(8 – 6)] 92. 8 - 3[-2(5 – 7) - 5(4 - 2)1 2(-2) – 4(-3) 93. 5 - 8 6(-4) – 5(-3) 94. 9 - 10 (5 – 6)? – 2|3 – 7| 95. 89 – 3.52 12 + 3.5|22 + 32| 96. 7 + 3 - 62 97. 15 - V3 - (-1) + 12 + 2.3 98. 17 - |5 - (-2)| + 12 + 2.3 99. 20 + 1 - V102 - (5 + 1)(-2) 100. 24 - V3. (5 – 2) + [-1 – (-3)|rarrow_forward5. Describe and correct the error in performing the given operation: (2x – 7) = (2x)³ – 73 = 8x – 343 (3x – 2x² + 4x – 8) – (5x² + 12x² – 3x – 4)arrow_forwardDrag the correct integers to the numbered boxes below to write equivalent expressions.arrow_forward
- Make Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.arrow_forward3. Write the exponential expression in simplest form: а. 2x4 5 b. z-6 (-4x-3)(7x³y5) C.arrow_forwardFind the quotient: (x43x31000)(x+5) .arrow_forward
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