Question

simplify. express your answer using positive exponents.
4p·10p

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 10. So, \( 4\times10 = 40 \).

Step2: Multiply the variables

For the variable \( p \), use the rule of exponents \( a^m \cdot a^n = a^{m + n} \). Here, \( p = p^1 \), so \( p^1\cdot p^1=p^{1 + 1}=p^2 \).

Step3: Combine the results

Combine the coefficient and the variable. So, \( 4p\cdot10p = 40p^2 \).

Answer:

\( 40p^2 \)