Question

simplify without a negative exponent.
10m² · 3m⁵

Explanation:

Step1: Multiply the coefficients

Multiply 10 and 3. So, \(10\times3 = 30\).

Step2: Multiply the variables with exponents

Use the rule \(a^m\cdot a^n=a^{m + n}\) for \(m^2\cdot m^5\). So, \(m^{2+5}=m^7\).

Step3: Combine the results

Combine the coefficient and the variable part. So, \(10m^2\cdot3m^5 = 30m^7\).

Answer:

\(30m^7\)