Question

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.

Answer 1

Answer:

$(9 * 3)^6 = 3^{18}$

Step-by-step explanation:

Given

$(9 * 3)^6$

Required

Represent as a base and exponents

$(9 * 3)^6$

Represent 9 as 3 * 3

$(3 * 3 * 3)^6$

Using laws of indices, we have

$(3^3)^6$

Open the bracket;

$3^{3*6}$

$3^{18}$

Hence;

$(9 * 3)^6 = 3^{18}$