Question

Write (3n^3)^2 without exponents

Answer 1

Answer:

${(3 {n}^{3}) }^{2} = 9 \times n \times n \times n \times n \times n \times n.$

Step-by-step explanation:

The given expresion is

${(3 {n}^{3}) }^{2}$

We want to rewrite this expression without exponents.

We use the property of exponents given as

$({ {a}^{n} })^{m} = {a}^{mn}$

We apply this property to get:

${(3 {n}^{3}) }^{2} = {3}^{2} \times {n}^{2 \times 3}$

This gives us

${(3 {n}^{3}) }^{2} = 9 {n}^{6}$

${(3 {n}^{3}) }^{2} = 9 \times n \times n \times n \times n \times n \times n$