Question

13
drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.
match the correct expression to the correct solution.

a^{-m}

a^m div a^n

(a^m)^n

a^m \times a^n

reset submit

Explanation:

Step1: Match negative exponent rule

The negative exponent rule states $a^{-m} = \frac{1}{a^m}$.

Step2: Match quotient of powers rule

The quotient of powers rule states $a^m \div a^n = a^{(m-n)}$.

Step3: Match power of a power rule

The power of a power rule states $(a^m)^n = a^{(m \times n)}$.

Step4: Match product of powers rule

The product of powers rule states $a^m \times a^n = a^{(m+n)}$.

Answer:

$a^{-m} \longleftrightarrow \frac{1}{a^m}$
$a^m \div a^n \longleftrightarrow a^{(m-n)}$
$(a^m)^n \longleftrightarrow a^{(m \times n)}$
$a^m \times a^n \longleftrightarrow a^{(m+n)}$