An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself. For example, in $$2^3$$ , 2 is the base and 3 is the exponent, meaning $$2 \times 2 \times 2$$ .

How do you simplify $$\frac{24k^{12}}{8k^2}$$ ?

To simplify, divide the coefficients (24/8 = 3) and subtract the exponents of k (12-2 = 10), resulting in $$3k^{10}$$ .

How do you simplify $$\frac{30x^3y^5}{10x^2y^3}$$ ?

To simplify, divide the coefficients (30/10 = 3), subtract the exponents of x (3-2 = 1), and subtract the exponents of y (5-3 = 2), resulting in $$3xy^2$$ .

What is the simplified form of $$x^{-1}y^3$$ using only positive exponents?

The simplified form is $$\frac{y^3}{x}$$ .

What is the simplified form of $$6y^{-2}$$ ?

The simplified form is $$\frac{6}{y^2}$$ .

What is the simplified form of $$2c^7d^{13} + 2c^7d^{13}$$ ?

The simplified form is $$4c^7d^{13}$$ .

What is the definition of a base in exponents?

The base is the number that is raised to a power in an exponential expression. For example, in $$3^4$$ , 3 is the base.

What is the zero exponent rule?

The zero exponent rule states that any non-zero number raised to the power of zero equals one. For example, $$a^0 = 1$$ , where a ≠ 0.

What is the definition of a coefficient in an expression?

A coefficient is a numerical factor in a term of an expression. For example, in $$5x^2$$ , 5 is the coefficient.

Exponents REVIEW Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is an exponent?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to simplify an expression with exponents?

Back

Simplifying an expression with exponents involves reducing it to its simplest form, often by applying the laws of exponents, such as the product of powers, quotient of powers, and power of a power.

3.

FLASHCARD QUESTION

Front

What is the product of powers rule?

Back

4.

FLASHCARD QUESTION

Front

What is the quotient of powers rule?

Back

5.

FLASHCARD QUESTION

Front

What is the power of a power rule?

Back

6.

FLASHCARD QUESTION

Front

What does it mean to express an exponent as a positive number?

Back

7.

FLASHCARD QUESTION

Front

Back

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