Question

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

${(8\times 2)}^4$

Answer 1

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

Step 1: Given expression: ${(8\times 2)}^4$

Step2: Solution:

Using the above law of exponents:

${(8\times 2)}^4={\left(8\right)}^4\times {\left(2\right)}^4\{Because{(x\times y)}^b=x^b\times y^b\}$

${\left(8\right)}^4\times {\left(2\right)}^4$, this is the required exponential notation.

Final Answer: ${\left(8\right)}^4\times {\left(2\right)}^4$, this is the required exponential notation.