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question simplify: (-10x^3)(4x^2) answer attempt 1 out of 2

Question

question
simplify:
(-10x^3)(4x^2)
answer attempt 1 out of 2

Explanation:

Step1: Multiply coefficients

Multiply -10 and 4: $(-10)\times4=-40$

Step2: Multiply variables

Use the rule $a^m\times a^n=a^{m + n}$, so $x^3\times x^2=x^{3+2}=x^5$

Step3: Combine results

Combine the results of step 1 and step 2: $-40\times x^5=-40x^5$

Answer:

$-40x^5$