Consider the equation (x^m)3=(x^13)^5*(x^-8)^-5
the value of m is
a.15
b.28
c.35
d.70

Option C is correct.

The value of m for the given equation is, 35

Step-by-step explanation:

Given an equation:  

To multiply the power of pwer, multiply the exponents on both sides of an equation:

      ...[1]

Using Property: When multiplying powers with the same base, then add the exponents.

Use the above property on  RHS in equation [1];

Since the base are same i.e, x ; we can add the exponents.

or

Using: , then a=b.

Therefore, 3m=105.

Divide 3 on both sides of an equation:

Simplify:

m=35

Therefore, the valur of m is, 35.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."