A number or expression that is raised to a power


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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.

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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}


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