Factors, Fractions, and Exponents

A factor is essentially a number that can be seamlessly divided into another number. On the other hand, fractions symbolize a portion of a complete entity, comprised of both a numerator and a denominator. Lastly, exponents provide a means of expressing the repeated multiplication of a singular number by itself.

Converting to a Fraction

If a number is represented as \(2^3 \times 3^2 \times 5\), convert this number into a fraction where the numerator is the product of the factors with odd exponents and the denominator is the product of the factors with even exponents.

Simple Exponents

c. $6 \times 10^{-7}=\square=$ (Type an integer or a decimal.)

Prime Factorizations

Identify the natural number as prime or composite. If the number is composite, find its prime factorization. 107

Finding the Factors

Melody is placing sushi rolls on plates. She has 72 California Sushi Rolls and 60 Spicy Tuna Sushi Rolls. She wants to include both appetizers on each plate. Each plate must have the same number of California Sushi Rolls and the same number of Spicy Tuna Sushi Rolls. What is the greatest number of plates she can make using all of the sushi rolls? Type your answer...

Simplifying Fractions

What is the simplified form of the fraction \(\frac{6^{3}}{2^{3}}\)?