Question

Compare and Contrast: Below are two expressions. Simplify each and then choose the statement that is true. (1 point)

Expression #1

Expression #2

(3d)3(d)

(3d2)2



The exponents in Expression #1 are greater than the exponents of Expression #2.
The exponents on Expression #2 are greater than the exponents of Expression #1.
The exponents of Expression #1 are the same as the exponents of Expression #2.
The relationship cannot be determined with the given information.

Answer 1

remember your exponent rules

\[m^{a}m^{b} = m^{a+b}\]
\[(m^{a})^{b} = m^{a*b}\]

basically, when you have the same base multiplied to another base, add the exponents

when you have a base raised an exponent, then raised to another exponent, multiply the exponents

apply this logic to simplify the two expressions you're given, then compare the exponents in the final expression