Question

simplify
$(2m^{4})(5m^{2})$
options: $10m^{8}$, $10m^{6}$, $7m^{8}$, $7m^{6}$

Explanation:

Step1: Multiply the coefficients

Multiply the numerical coefficients \(2\) and \(5\). So, \(2\times5 = 10\).

Step2: Multiply the variables with exponents

For the variables with exponents, use the rule of exponents \(a^m\times a^n=a^{m + n}\). Here, \(m^4\times m^2=m^{4 + 2}=m^6\).

Step3: Combine the results

Combine the coefficient and the variable part. So, \((2m^4)(5m^2)=10\times m^6 = 10m^6\).

Answer:

\(10m^6\) (corresponding to the option with text "10m⁶")