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.

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4