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Simplify: \[ 10^{5 x} \times 10^{-12 x} \] Your answer must be given with a positive exponent. INSTRUCTION: Type your answer with brackets around the exponent e.g. a^(b + c). Answer:

Ask by Goodwin Cross. in South Africa
Feb 20,2025

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\[ 10^{-7x} \]

Solución

Calculate or simplify the expression \( 10^{5x} \times 10^{-12x} \). Simplify the expression by following steps: - step0: Solution: \(10^{5x}\times 10^{-12x}\) - step1: Multiply: \(10^{5x-12x}\) - step2: Calculate: \(10^{-7x}\) The simplified form of \(10^{5x} \times 10^{-12x}\) is \(10^{-7x}\).

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Mind Expander

The expression simplifies as follows: \[ 10^{5x} \times 10^{-12x} = 10^{(5x - 12x)} = 10^{-7x} \] To express this with a positive exponent, we can rewrite it as: \[ \frac{1}{10^{7x}} \] So the final answer is: \[ 10^{-(7x)} \] Thus the answer is: \[ \frac{1}{10^{(7x)}} \]

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