Exponents, PEMDAS, & Prime Factorization

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What is an exponent?

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An exponent is a number that shows how many times a base number is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 × 2 × 2 = 8).

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What does PEMDAS stand for?

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PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is the order of operations used to solve mathematical expressions.

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What is the prime factorization of a number?

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Prime factorization is the process of expressing a number as the product of its prime factors. For example, the prime factorization of 12 is 2^2 × 3.

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What is the prime factorization of 36?

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The prime factorization of 36 is 2^2 × 3^2.

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What is the expanded form of 4^6?

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The expanded form of 4^6 is 4 × 4 × 4 × 4 × 4 × 4.

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How do you find the number of equal payments needed to repay a loan?

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To find the number of equal payments needed to repay a loan, subtract the amount already paid from the total loan amount, then divide by the amount of each payment.

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What is the prime factorization of 90?

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The prime factorization of 90 is 2 × 3^2 × 5.

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What is a prime number?

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A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples include 2, 3, 5, 7, and 11.

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What is the difference between multiplication and exponentiation?

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Multiplication is repeated addition of the same number, while exponentiation is repeated multiplication of the same number. For example, 3 × 3 = 9 (multiplication) and 3^2 = 3 × 3 = 9 (exponentiation).

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What is a factor tree?

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A factor tree is a diagram used to break down a number into its prime factors. It starts with the number at the top and branches out into its factors.