Question

Simplify the following and write the answer in the exponential notation.

${(3\times 7)}^2$

Answer 1

Hint: We know one of the law of exponents: ${(x\times y)}^b=x^b\times y^b$

Step 1: Given expression: ${(3\times 7)}^2$

Step2: Solution:

Using the above law of exponents:

${(3\times 7)}^2={\left(3\right)}^2\times {\left(7\right)}^2\{Because{(x\times y)}^b=x^b\times y^b\}$

${\left(3\right)}^2\times {\left(7\right)}^2$, this is the required exponential notation.

Final Answer: ${\left(3\right)}^2\times {\left(7\right)}^2$, this is the required exponential notation.