Question

Write the prime factorization of 864 in exponential form.​

Answer 1

Answer:

864 is a composite number. Prime factorization: 864 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3, which can be written 864 = 2⁵ × 3³ The exponents in the prime factorization are 5 and 3.

Step-by-step explanation:

Answer 2

Answer:

$2^5$ ×$3^3$  is the exponential form of 864.

Step-by-step explanation:

Explanation:

Given, a number 864.

Exponential form - The exponential form is an easier way of writing repeated multiplication involving base and exponents.

For example, we can write 5 × 5 × 5 × 5 as 54 in the exponential form.

Step 1:

Prime factorization of 864 = 2×2×2×2×2×3×3×3 .

In Exponential form = $2^5$ ×$3^3$ .

Final answer:

Hence, the exponential form of 864 is  $2^5$ ×$3^3$.

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