Question

Which expression is equivalent to the given expression? (3m-4)^3(3m^5)

Answer 1

Answer: D.

Step-by-step explanation:

You want to cube each term in the parentheses. When you take an exponent to an exponent, you just multiply them. You get (27m^-12). In order to get rid of that negative exponent, you should put a one over the m term and make -12, +12:

$(\frac{27}{m^12} )(3m^5)$

Multiply the numerators to get:

$81m^5$

You now have:

$\frac{81m^5}{m^12}$

When you divide exponents, you subtract them. 5 - 12 = -7

You have m^-7 which is the same as 1/m^7. Finally, mulitply that by the 81 we left out to get the answer of D.