selena is simplifying the expression $(6h^{5})^{2}$. she wrote $(6h^{5})^{2}=square h^{10}$. what number…
selena is simplifying the expression $(6h^{5})^{2}$. she wrote $(6h^{5})^{2}=square h^{10}$. what number should selena put in the box?
Answer
Explanation:
Step1: Apply power - of - a - product rule
According to the power - of - a - product rule ((ab)^n=a^n\times b^n). Here (a = 6), (b=h^5) and (n = 2). So ((6h^5)^2=6^2\times(h^5)^2).
Step2: Calculate (6^2) and ((h^5)^2)
We know that (6^2 = 36) and by the power - of - a - power rule ((a^m)^n=a^{mn}), so ((h^5)^2=h^{5\times2}=h^{10}). Then (6^2\times(h^5)^2=36h^{10}).
Answer:
36