(2m)^4 * (2m)16

exponent add when multilplying

am an= am+n

I am not certain what the second superscript is, but add them.

ohh sorry it is (2m)^16

why are you using n?

He was telling you the rule. 2m^20 because you add the exponents.

okay so the answer i came up with is

4m^20
Is that right?
Thanks so much for your help.

To simplify the expression (2m)^4 * (2m)^16, we can apply the properties of exponents.

First, let's look at each term individually.

(2m)^4 = (2^4)(m^4) = 16m^4

(2m)^16 = (2^16)(m^16)

Now, we can simplify the entire expression by multiplying the coefficients and adding the exponents of the variable m.

(16m^4)(2^16)(m^16)

To multiply the coefficients, we multiply 16 by 2^16:

16 * 2^16 = 16 * 65536 = 1,048,576.

To multiply the variables with the same base m, we add the exponents:

m^4 * m^16 = m^(4+16) = m^20.

Putting it all together, the simplified expression is:

1,048,576m^20.