In Exercises 158–161, simplify the expression. Assume that all variables used as exponents represent integers and that all other variables represent nonzero real numbers. 158. x"-1. n +4 159. (x4n. x")-3 -"-2 160. 6-n 3n+1 3 161.

Q: What is addition rule

A: solution : The Addition RuleThe addition rule states the probability of two events is the sum of the…

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Q: × if と-11616 tai g 2. Q3/hnd

A: To find x if x=16+16tan2θ. Solution: We have identity, sec2θ-tan2θ=1 So, sec2θ=1+tan2θ Solving the…

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A: Algebric expression: Any expression that is built up from integers variable, constant and algebric…

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A: 20510-75

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Q: Define the term domain of nonnegative numbers?

A: Non negative numbers are all real numbers that are 0 or greater than 0.

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Q: In Exercises 55–78, use properties of rational exponents to simplify each expression. Assume that…

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Q: 7. Use your definition of Exponential notation to prove the Exponent Law that says: 4 %3D x3

A:

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Q: In Exercises 90–104, simplify each exponential expression. Assume that no denominators are 0. 90.…

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A: Quotients rule to power rule:xyn=xnynxmn=xmn

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Q: Select all expressions equivalent to (87·8-6)-2. А. О 8-14.812 64 В. 1 С. 8-2

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Q: In Exercises 33–37, simplify each exponential expression. 33. (-2r)(7x-10) 34. (-&rSy)(-5x?y*)…

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Q: Find the exact value of the expression. tan 35° + tan 10° 1- tan 35° tan 10° tan 35°+ tan 10° 1- tan…

A: TRIGONOMETRIC IDENTITY: tan(A+B)=tanA+tanB1-tanA tanB

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Q: Exercises 99-101 will help you prepare for the material covered in the next section. 99. In parts…

A: 99. a.  b4·b3=b4+3=b7

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Q: In Exercises 9–11, determine whether each statement is true or false. 9. 0 e {x|x is a natural…

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Q: The ISBN-10 of the sixth edition of Elementary Number Theory and Its Applications is 0-321-500Q1-8,…

A: Here, x1=0, x2=3, x3=2, x4=1, x5=5, x6=0, x7=0, x8=Q, x9=1, x10=8

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Q: (5 × 104)(8 × 105) 4 × 106   (10 × 10−5)(9 × 106) 5 × 109

A: We have to calculate the values in scientific form of And

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Q: In Exercises 53-58, simplify each expression using the power rule. 53. (x)10 54. (x³)? 55. (b4)3 56.…

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A: State power rule for exponents? Justify along with example