Write each expression as a base raised to a power or as the product of bases raised to powers that is equivalent to the given expression. (93)6 = Show your steps on your paper. Use the ^ symbol to represent an exponent. If your exponent has more than one value, use parenthesis. For example, 52x would be written as 5^(2x). Use the * symbol to represent multiplication. For example 5x5 would be written as 5*5.

Respuesta :

Answer:

[tex](9 * 3)^6 = 3^{18}[/tex]

Step-by-step explanation:

Given

[tex](9 * 3)^6[/tex]

Required

Represent as a base and exponents

[tex](9 * 3)^6[/tex]

Represent 9 as 3 * 3

[tex](3 * 3 * 3)^6[/tex]

Using laws of indices, we have

[tex](3^3)^6[/tex]

Open the bracket;

[tex]3^{3*6}[/tex]

[tex]3^{18}[/tex]

Hence;

[tex](9 * 3)^6 = 3^{18}[/tex]