1. Answer each of the questions below:

a)Write the number in scientific notation:270,400

b)Write the number in scientific notation:0.0046

c)Write the number in standard notation, without exponents:1.171x10⁴

d) Write the number in standard notation, without exponents:-3.579x10^-2

e)Perform the indicated operations and write the answer in scientific notation: (1.2 x 10⁴) (3.1 x 10⁵)

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

(4x⁵y³)(9x⁹y⁷)

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

(3x⁶y^-9)³

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

(4x⁷y^-3) / (8x¹³y)

5) Perform the indicated operations and simplify:

(9x² - 3x + 11) - (2x² - 8x + 4)

6)Perform the indicated operations and simplify:

(3x + 5y)(6x - 5y)

7)Perform the indicated operations and simplify:

(3x - 2)(4x² + 2x - 3)

8)Factor completely.Show work using the method discussed in Sections 6.1 and 6.3 of our text, and check your answer by multiplying it back out.If the polynomial is not factorable, write "prime."

3x² + 3x - 60

9)Solve the equation by the method of factoring.Use the factoring technique discussed in Section 6.4 of our text, and solve following the methods discussed in Section 6.7.

16x² + 34x - 15 = 0

10)Solve the equation by the method of factoring.Use the factoring technique discussed in Section 6.4 of our text, and solve following the methods discussed in Section 6.7.

3x² - 8 = -10x