Question

Simply : $7^{28}\times 7^{15}\times {\left(\frac{1}{7}\right)}^{13}$

Answer 1

Step 1: Using the property of $a^m\times a^n=a^{m+n}$

Given $7^{28}\times 7^{15}\times {\left(\frac{1}{7}\right)}^{13}$

$$\begin{gathered} \Rightarrow 7^{28+15}\times {\left(\frac{1}{7}\right)}^{13} \\ \Rightarrow 7^{43}\times {\left(\frac{1}{7}\right)}^{13} \end{gathered}$$

Step 2: Using the property of $a^m÷a^n=a^{m-n}$

$$\begin{gathered} \Rightarrow \frac{7^{43}}{7^{13}}\Rightarrow 7^{43-13} \\ \Rightarrow 7^{30} \end{gathered}$$

Hence $7^{28}\times 7^{15}\times {\left(\frac{1}{7}\right)}^{13}$is $7^{30}.$