Question

Which expression is equivalent to 9^3/3^3

Answer 1

2nd answer is correct

Explanation:

We know that,

`\rightarrow \sf {x}^(a) * {x}^(b) = {x}^(a + b) \\ \rightarrow \sf \frac{{x}^(a) }{ {x}^(b) } = {x}^(a - b) \\ \rightarrow \sf( {x}^(a) )^(b) = {x}^(ab)`

Accordingly, let us solve it now.

`\sf \frac{ {9}^(3) }{ {3}^(3) } \\ \\ \sf \frac{ {3}^(2 * 3) }{ {3}^(3) } \\ \\ \sf\frac{ {3}^(6) }{ {3}^(3) } \\ \\ \sf {3}^(6 - 3) \\ \sf {3}^(3)`

Answer 2

3^3

Explanation:

Exponents

9^3 can be rewritten as

3^2 ^3

Using exponent rules a^b^c = a^ (b*c)

3^2^3 = 3^6

3^6 / 3^3

We know that a^b / a^c = a^(b-c)

3^6 / 3^3 = 3^(6-3) = 3^3