Question

3^2x3^9 simplify and write in exponential form

Answer 1

`\sf 3 ^(11)`

Explanation:

An exponent is a mathematical symbol that tells us how many times to multiply a base number by itself.

In this case:

To simplify 3² × 3⁹, we can use the following rule of exponents:

`\sf a^m * a^n = a^(m+n)`

Therefore, 3² × 3⁹ can be simplified as:

`\begin{aligned} 3^2* 3^9 & = 3^(2+9) \\\\ &= 3^(11)\end{aligned}`

Therefore the answer in exponential form is:
`\sf 3 ^(11)`

Answer 2

`3^(11)`

Explanation:

using the rule of exponents

•
`a^(m)` ×
`a^(n)` =
`a^((m+n))`

given

3² ×
`3^(9)`

=
`3^((2+9))`

=
`3^(11)`