Question

simplify. express your answer using positive exponents. 8k^{62} cdot 5k^{36}

Explanation:

Step1: Multiply coefficients

$8\times5 = 40$

Step2: Use exponent - rule for same base

According to the rule $a^m\times a^n=a^{m + n}$, for $k^{62}\times k^{36}$, we have $k^{62+36}=k^{98}$

Step3: Combine results

The result is $40k^{98}$

Answer:

$40k^{98}$