Question

Simplify and write the answer in the exponential form.

${18}^{16}\times 18$

Answer 1

Hint: We know the law of exponents that is powers with same base: $x^a\times x^b=x^{a+b}$

Step 1: Given expression: ${18}^{16}\times 18$

Step 2: Solution:

Using the above law:

$$\begin{gathered} {\left(18\right)}^6\times 18={\left(18\right)}^{16+1}\{x^a\times x^b=x^{a+b}\} \\ ={\left(18\right)}^{17} \end{gathered}$$

${\left(18\right)}^{17}$, this is the required exponential form.

Final Answer: ${\left(18\right)}^{17}$, this is the required exponential form.