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문제 56
In Exercises 33–68, add or subtract as indicated. 3x/(x−3) − (x+4)/(x+2)
문제 88
In Exercises 83–90, perform the indicated operations. Simplify the result, if possible.
문제 1
Evaluate each algebraic expression for the given value or value(s) of the variable(s). 3+6(x-2)3 for x = 4
문제 10
Rewrite each expression without the absolute value bars. |√2-1|
문제 12
Express the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.
문제 13
State the name of the property illustrated: 3+17 = 17+3
문제 14
State the name of the property illustrated: (6 • 3) • 9 = 6 • (3 • 9)
문제 18
State the name of the property illustrated: (3 • 7) + (4 • 7) = (4 • 7) + (3 •7)
문제 24
Evaluate each exponential expression: (-3)3 (-2)2
문제 26
Evaluate each exponential expression: 5-3• 5
문제 27
Evaluate each exponential expression: (33)/(36)
문제 28
Simplify each exponential expression:
문제 29
Simplify each exponential expression:
문제 34
Write each number in scientific notation. 3,590,000
문제 36
Perform the indicated operation and write the answer in decimal notation.
문제 41
Use the product rule to simplify the expressions in Exercises 41 - 44. In exercises 43 - 44, assume that variables represent nonnegative real numbers. √300
문제 45
Use the quotient rule to simplify the expressions in Exercises 45-46. √(121/4)
문제 47
Add or subtract terms whenever possible. 7√5 + 13√5
문제 49
In Exercises 47 - 49, add or subtract terms whenever possible. 4√72 - 2√48
문제 50
Rationalize the denominator. 30/√5
문제 51
Rationalize the denominator. √2/√3
문제 58
Simplify the radical expression. ∛81
문제 61
Simplify the radical expression. 4∛16 + 5∛2
문제 62
Simplify the radical expressions in Exercises 58 - 62. ∜(32x5)/∜(16x) (Assume that x > 0.)
문제 63
Evaluate each expression 161/2.
문제 69
Simplify using properties of exponents.
문제 72
Simplify by reducing the index of the radical :
문제 73
Perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree.
문제 75
Find each product :
문제 77
Find each product : (4x+5)(4x-5)