Question

2 simplify without a negative exponent. $10m^2 \cdot 3m^5$

Explanation:

Step1: Multiply the coefficients

Multiply 10 and 3: \(10\times3 = 30\)

Step2: Multiply the variables (use exponent rule \(a^m \cdot a^n = a^{m + n}\))

For \(m^2 \cdot m^5\), add the exponents: \(m^{2+5}=m^7\)

Step3: Combine the results

Combine the coefficient and the variable: \(30m^7\)

Answer:

\(30m^7\)