Fctor completely and show the check by re-multiplication

Question

1. Answer each of the questions below:

a) Write the number in scientific notation: 127,436,516

b) Write the number in scientific notation: 0.000007451

c) Write the number in standard notation, without exponents: 4079 x 10⁵

d) Write the number in standard notation, without exponents: 3.012 x 10^-4

e) Simplify:3^-2 - 6^-1 -7⁰

2) Simplify. Write the answer using positive exponents only.

(63x^(-5) y^7)/(54xy^(-4) )

3) Simplify. Write the answer using positive exponents only.

((4a^7)/(5b^(-2) ))^3

4) Simplify. Write the answer using positive exponents only.

(14x^8 y^9)/(20x^3 y)÷(35x^11 y^18)/(8x^3 y^9 )

5) Perform the indicated operations and simplify: (15y² - 9) + (3y² - 8) - (4 - 11y² )

6) Perform the indicated operations and simplify your answer: (2x² - 7x + 3) - (4x² -11x - 12)

7) Perform the indicated operations and simplify your answer: (2x - 9) (5x² - 4x - 7)

8) Factor completely and show the check by re-multiplication. If the polynomial is not factorable, write "prime." 12x³ -20x² - 8x

9) Factor completely and show the check by re-multiplication. If the polynomial is not factorable, write "prime." 42x² - 23x - 5

10) Solve the equation by the method of factoring: 4x3 + 6x² = 70x