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Simplify. (a) \( 12 x^{12} \div 3 x^{3} \)

Ask by Murphy Pritchard. in India
Feb 20,2025

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\(4x^{9}\)

Solución

Calculate or simplify the expression \( 12x^{12} / (3x^{3}) \). Simplify the expression by following steps: - step0: Solution: \(\frac{12x^{12}}{3x^{3}}\) - step1: Reduce the fraction: \(\frac{12x^{12-3}}{3}\) - step2: Reduce the fraction: \(\frac{12x^{9}}{3}\) - step3: Divide the terms: \(4x^{9}\) The simplified form of \(12x^{12} \div 3x^{3}\) is \(4x^{9}\).

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The Deep Dive

To simplify \( 12 x^{12} \div 3 x^{3} \), you can start by dividing the coefficients (numerical parts) and then subtracting the exponents of the variable. First, divide the coefficients: \( \frac{12}{3} = 4 \). Next, for the variable \( x^{12} \div x^{3} \), apply the rule for dividing exponents, which is to subtract the exponents: \( x^{12 - 3} = x^{9} \). Putting it all together, you get: \( 4 x^{9} \). So, the simplified expression is \( 4 x^{9} \).

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