40 points and brainliest

Prime factorization is a list of the prime numbers that multiplied equal the value whose prime factorization is being calculated. For 100, the prime factorization is the following:

2x2x5x5= [tex]2^2*5^2[/tex].

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How to verify the question for exercise 2? Solve the multiplication.

2x2= 4

4x5=20

20x5= 100. Correct!

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Exercise 3.

Step 1. Write the expression.

[tex](42/21)^4+7*23-(52-6*7)[/tex]

Step 2. Solve the parentheses.

[tex](42^4/21^4)+7*23-(52-(42))=\\ \\(3111696/194481)+7*23-(10)=\\ \\(16)+7*23-10=[/tex]

Step 3. Multiply.

[tex]16+7*23-10[/tex]

Step 4. Simplify by adding and substracting.

[tex]16+161-10=\\ \\177-10=\\ \\167.[/tex]

Step 5. Express your result.

[tex](42/21)^4+7*23-(52-6*7)= 167[/tex].

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Exercise 4.

Step 1. Write the expression.

[tex]\frac{16+9b}{3b-11}[/tex]

Step 2. Equal the expression to 0.

[tex]\frac{16+9b}{3b-11}=0[/tex]

Step 3. Multiply 3b-11 on both sides and simplify.

[tex](3b-11)*\frac{16+9b}{3b-11}=0*(3b-11)\\ \\16+9b=0[/tex]

Step 4. Substract 16 from both sides.

[tex]-16+16+9b=0-16\\ \\9b=-16[/tex]

Step 5. Divide both sides by 9 and simplify.

[tex]\frac{9b}{9} =\frac{-16}{9} \\ \\b= -\frac{16}{9}[/tex].

Step 6. Express your result.

False, [tex]b=-\frac{16}{9}.[/tex]

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