Question

simplify. express your answer using positive exponents.
2p⁴·10p³

Explanation:

Step1: Multiply the coefficients

Multiply 2 and 10. So, \(2\times10 = 20\).

Step2: Multiply the variables with exponents

Use the rule \(a^m\cdot a^n=a^{m + n}\) for \(p^4\cdot p^3\). So, \(p^4\cdot p^3=p^{4 + 3}=p^7\).

Step3: Combine the results

Combine the coefficient and the variable part. So, \(2p^4\cdot10p^3=20p^7\).

Answer:

\(20p^7\)