Verified answer

Given :

[tex] = {3}^{8} \times {3}^{3} [/tex]

To do :

• Simplify using laws of exponents

Solution Explanation :

[tex]( {a}^{m} \times {a}^{n} ) = {a}^{m + n} \\ \\ ( {3}^{8} \times {3}^{3} ) = 3 {}^{8 + 3} \\ \\ = {3}^{11} [/tex]

Answer:

3⁶

Base same so equate powers.

We know that a¹ x a² = a ³

Because we add the powers if the base is same in multiplication.

So, 3³ x 3³ = 3⁶

3x3x3x3x3x3

= 9x9x9

=81x9

= 729 or 3⁶