QUESTION IMAGE
Question
18/20
7x⁰ · 5x³
35x³
35x²
35x⁴
2x³
Step1: Simplify the coefficient
Multiply the coefficients \(7\) and \(5\), we get \(7\times5 = 35\).
Step2: Simplify the variable part
According to the rule of exponents \(a^{m}\cdot a^{n}=a^{m + n}\) and \(x^{0}=1\) (any non - zero number to the power of \(0\) is \(1\)), so \(x^{0}\cdot x^{3}=x^{0 + 3}=x^{3}\).
Step3: Combine the results
Multiply the coefficient and the variable part together, we get \(35\times x^{3}=35x^{3}\).
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$35x^{3}$