Question

Express 216 in exponential notation.​

Answer 1

Answer:

Prime factorization: 216 = 2 x 2 x 2 x 3 x 3 x 3, which can be written 216 = 2³ x 3³. The exponents in the prime factorization are 3 and 3. Adding one to each and multiplying we get (3 + 1) x (3 + 1) = 4 x 4 = 16.

Answer 2

216 = 2³ × 3³

Given : The number 216

To find : Express in exponential notation

Solution :

Step 1 of 3 :

Write down the given number

The given number is 216

Step 2 of 3 :

Prime factorise the given number

216 = 2 × 2 × 2 × 3 × 3 × 3

Step 3 of 3 :

Express in exponential notation

In prime factorisation of 216 -

Number of 2s = 3

Number of 3s = 3

Thus we have

216 = 2³ × 3³

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