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Simplify (3a-3)(a4)(2a2). Also written as (3a^-3)(a^4)(2a^2). No spaces.

Question

Simplify (3a-3)(a4)(2a2). Also written as (3a^-3)(a^4)(2a^2). No spaces.

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Solution 1

To simplify the expression (3a^-3)(a^4)(2a^2), you need to follow the rules of exponents and multiplication.

Step 1: Simplify the bases that are the same. In this case, the base is 'a'. According to the rules of exponents, when you multiply terms with the same base, you add the exponents.

So, a^-3 * a^4 * a^2 = a^(-3+4+2) = a^3

Step 2: Multiply the coefficients (the numbers in front of 'a').

So, 3 * 2 = 6

Step 3: Combine the results from step 1 and step 2.

So, the simplified expression is 6a^3.

This problem has been solved

Solution 2

To simplify the expression (3a^-3)(a^4)(2a^2), you need to follow the rules of exponents.

Step 1: Simplify the bases with the same exponent. The base 'a' has different exponents, so you add the exponents together.

The rule is: a^m * a^n = a^(m+n)

So, a^-3 * a^4 * a^2 = a^(-3+4+2) = a^3

Step 2: Multiply the coefficients.

The coefficients are 3, 1 (implied in a^4), and 2.

So, 3 * 1 * 2 = 6

Step 3: Combine the results from step 1 and step 2.

So, the simplified

This problem has been solved

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