Chapter 7: Q3B. (page 403)

Simplify the expression
${[{(3^{2})}^{3}]}^{2}$

Short Answer

Expert verified

The simplified version of ${[{(3^{2})}^{3}]}^{2}$ is 531441.

Step by step solution

Step 1. State the ‘Law of indices’ for power of index numbers.

If a term with a power is itself raised to a power then the powers are multiplied together.

In general: ${(x^{m})}^{n} = x^{m \times n}$

Step 2. Simplify the expression.

Apply the brackets rule and simplify the given expression.

${[{(3^{2})}^{3}]}^{2} = {[3^{2 \times 3}]}^{2} = {[3^{6}]}^{2} = 3^{6 \times 2} = 3^{12} = 531441$

Step 3. State the conclusion.

Thus the simplification of ${[{(3^{2})}^{3}]}^{2}$ is 531441.

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Simplify the expression
${[{(3^{2})}^{3}]}^{2}$

Short Answer

Step by step solution

Step 1. State the ‘Law of indices’ for power of index numbers.

Step 2. Simplify the expression.

Step 3. State the conclusion.

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Simplify the expression3232

Short Answer

Step by step solution

Step 1. State the ‘Law of indices’ for power of index numbers.

Step 2. Simplify the expression.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Simplify the expression
${[{(3^{2})}^{3}]}^{2}$