Question

simplify. express your answer using positive exponents. 4c³·8c

Explanation:

Step1: Multiply coefficients

$4\times8 = 32$

Step2: Use exponent - rule for multiplying like - bases

When multiplying terms with the same base $a^m\times a^n=a^{m + n}$, here $a = c$, $m = 3$, $n = 1$, so $c^3\times c^1=c^{3 + 1}=c^4$

Step3: Combine results

$4c^3\cdot8c=32c^4$

Answer:

$32c^4$