Define the binary operator by: a b = 5ab Find each of the following: a. 40 6 = b. 303- c. 64- d. fed

Q: 4. Simplify the given expression : (3Vx43.y* 2 x3.y-4 O 6"yl6 O 9ryl6 O 6x7ys O 9x37y8

A: SOLUTION-

Q: Perform the indicated operations and write the result in standard form : √-32 - √-18

A:

Q: 1la4 – 1826 Divide the following:

A: Take the common term outside of the numerator and factorize the numerator.

Q: each expression using an exponent 1⋅7⋅7⋅7⋅7⋅7

A: Given1×7×7×7×7×7=75As we know that an exponent is the same as an index which tells us that what a…

Q: Determine the value of: 60 000 x 80 000 – 5 000 + 120 000 ÷ 15 000

A: Given, 60,000×80,000-5000+120,000÷15,000

Q: Express in scientific notation: 0.00076.

A:

Q: Perform the indicated operations and write the result in standard form : 5/(2 - i)

A: Given fraction is 52-i.

Q: Encode and decode the message “ABBREVIATIONS" with the key | I:

A: The alphabets are coded to the numbers according to the following table. Letter - (space) A B C D…

Q: Perform the indicated operations when A= A + IA 0-1 2 1

A: We have a 2×2 matrix A  We need to find the matrix A+IA , where I is Identity matrix

Q: Determine the answer for: 8+[9x(15-8)]÷4

A:

Q: Rationalize each denominator: 3x 10y a. b. с. V 5y V36y 36у Var'y

A: Given : a. 3x5y

Q: Find the following

A: The integration rules used here are  1. ∫fx±gxdx=∫fxdx±∫gxdx2. ∫xndx=xn+1n+1+C

Q: Put the following four powers in order from least to greatest, show all work: (-2)², (–2)³,…

A:

Q: Expand the following expressions: a. TC(q) - 2TR(q) - FC(q) b. 5q-(3-2q)³ 1 – In (²²) ² 9-x c. 1-In

A: In this given question, the meaning of TC(q), TR(q) and FC(q) are not clear.  So, it is impossible…

Q: Use radical notation to rewrite each expression and simplify: 3 3 а. 1000- b. 162 c. -325

A: To simplify: a)100023 100023 On simplifying further we get: 100023=(1000)23 =(103)23…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.