Question

Represent the number 108 in expanded form and exponent

Answer 1

108 = 3³ × 2²

Further explanation

Let's recall following formula about Exponents and Surds:

$\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }$

$\boxed { (a ^ b) ^ c = a ^ { b . c } }$

$\boxed {a ^ b \div a ^ c = a ^ { b - c } }$

$\boxed {\log a + \log b = \log (a \times b) }$

$\boxed {\log a - \log b = \log (a \div b) }$

Let us tackle the problem!

$\texttt{ }$

$108 = 54 \times 2$

$108 = (27 \times 2) \times 2$

$108 = (9 \times 3) \times 2 \times 2$

$108 = (3 \times 3) \times 3 \times 2 \times 2$

$108 = 3^3 \times 2^2$

$\texttt{ }$

Conclusion:

The number 108 could be represented in expanded form and exponent as following:

$\boxed{ 108 = 3^3 \times 2^2 }$

$\texttt{ }$

Learn more

• Coefficient of A Square Root : brainly.com/question/11337634
• The Order of Operations : brainly.com/question/10821615
• Write 100,000 Using Exponents : brainly.com/question/2032116

Answer details

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

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