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Katarina [22]
3 years ago
8

What is the value of b in the equation below? 9^-8 x 9^-2 = a^b

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

Answer:

b= -10

Step-by-step explanation:

9^ -8  * 9^ -2

We know that a^b * a^c = a^ (b+c)

9^ (-8+-2)

9^ -10

We want it in the form a^b

a=9

b= -10

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Round to the nearest tenth if necessary.
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B) 25

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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  • Left to Right<u> </u>

<u>Algebra I</u>

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<u>Algebra II</u>

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<u>Step 1: Define</u>

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<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(-4--1)^2+(-4--8)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(-3)^2+(4)^2}
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  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{25}
  5. [√Radical] Evaluate:                                                                                           \displaystyle d = 5
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