Use a property of exponents to write (2m)^4 as a product of powers. Use pencil and paper. Describe the property of exponents that you used. In​ words, what does the power of a product​ equal?

Respuesta :

Answer:

[tex]16m^4[/tex]

Step-by-step explanation:

The property of exponents that we can use is the following:

"The power of a product of terms is equal to the product of each term raised to the same power. In formula:

[tex](a\cdot b)^n = a^n \cdot b^n[/tex]

In this problem, we have:

[tex](2m)^4[/tex]

So in this case, a=2, b=m and n=4. By applying the property, we get:

[tex](2m^4)=2^4\cdot m^4 =16m^4[/tex]

Answer:

(2m)^4 =2^4 m^4

Step-by-step explanation: