Question

follow the instructions below.
write ( n^3 cdot n^4 ) without exponents.
( n^3 cdot n^4 = square )
fill in the blank.
( n^3 cdot n^4 = n^{square} )

Explanation:

Step1: Expand exponents to factors

$n^3 = n \cdot n \cdot n$, $n^4 = n \cdot n \cdot n \cdot n$

Step2: Multiply the expanded terms

$n^3 \cdot n^4 = n \cdot n \cdot n \cdot n \cdot n \cdot n \cdot n$

Step3: Apply exponent addition rule

When multiplying like bases, add exponents: $n^a \cdot n^b = n^{a+b}$, so $n^3 \cdot n^4 = n^{3+4}=n^7$

Answer:

$n \cdot n \cdot n \cdot n \cdot n \cdot n \cdot n$
$7$