Simply each expression with work shown

7. y^3+10y^2+50y+64

8. 3k^3-9k^2+27k-42

Step-by-step explanation:

Answer(4) 1:

128m^-2  / 3 .

Step-by-step explanation:

Given is (-4.m^2.n)^4 . ⅙.m^-10.n^-4 which needs to be written in a simpler form. We will divide the entire expression by the common denominator.

=256m^8n^4 .m^-10.n^-4 / 6

Making it in a more simpler form.

=128m^-2.n^0  / 3

=128m^-2.(1)  / 3

=128m^-2  / 3

Hence the simplest form is 128m^-2  / 3 .

Answer (5) 2:

a^2 -14a-5

Step-by-step explanation:

Given expression is (8a^2 -6-8a) + (1-6a-7a^2)

Simplifying brackets

=8a^2 -6-8a+1-6a-7a^2

Rearranging the expression:

=8a^2 -7a^2 -8a-6a-6+1

=a^2 -14a-5

Hence the simplest form is a^2 -14a-5

Answer (6) 3:

-2x^3 -12x^2 +8x+6

Step-by-step explanation:

From the question, the expression is (6x-7x^2 +7) - (5x^2+2x-2x^3 -1)

Simplifying brackets:

=6x-7x^2 +7-5x^2 +2x-2x^3 -1

Rearranging the expression:

=-2x^3 -7x^2 -5x^2 +2x+6x+7-1

=-2x^3 -12x^2 +8x+6

Therefore, the simplest form is -2x^3 -12x^2 +8x+6

Answer(7) 4:

y^3 +10y^2 +50y+64

Step-by-step explanation:

Given is (y+4)^3 -2y(y-1)

As we know that: (a+b)^3 = a^3 +3(a^2)(b)+3(a)(b^2) +b^3

(y+4)^3 = y^3+3(y^2)(4)+3(y)(4^2)+4^3

(y+4)^3 =y^3 +12y^2 +48y^2 +64

=y^3 +12y^2 +48y +64-2y^2 +2y

Rearranging the expression:

=y^3 +12y^2 -2y^2 +48y+2y +64

=y^3 +10y^2 +50y+64

Therefore, the simplest form =y^3 +10y^2 +50y+64

Answer(8) 5:

3(k^3 -3k^2+9k-14)

Step-by-step explanation:

Give in the question is the expression (3k-6)(k^2-k+7)

=3k^3 -3k^2 +21k-6k^2 +6k-42

Rearranging the expression:

=3k^3 -3k^2-6k^2 +21k+6k-42

=3k^3 -9k^2 +27k -42

Factorizing 3 out of the equation:

=3(k^3 -3k^2+9k-14)

Therefore, the simplest form is 3(k^3 -3k^2+9k-14)

Answer(9) 6:

-(c^4.d^3-7c^2.d +3)

Step-by-step explanation:

Given in the question is the expression, -8c^6.d^4+56c^4.d^2-24c^2.d  / 8c^2.d

Factorizing 8c^2.d out of the equation:

=8c^2.d(-c^4.d^3 +7c^2.d -3) /8c^2.d

Divide 8c^2.d from numerator and denominator:

=-c^4.d^3 +7c^2.d -3

=-(c^4.d^3-7c^2.d +3)

Therefore, the simplest form is -(c^4.d^3-7c^2.d +3)

765238725478629038640962136509762139056074

step-by-step explanation:

64087235609746097215074621039754021037

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°