How do you simplify the expression $$\left(2x^5\right)(6x^4)$$ ?

Multiply the coefficients and add the exponents: Result is $$12x^{9}$$ .

What is the Negative Exponent Rule?

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: $$x^{-n} = \frac{1}{x^n}$$ .

What is the Product of Powers Property?

When multiplying powers with the same base, you add the exponents: $$x^a \cdot x^b = x^{a+b}$$ .

What is the definition of a base in exponents?

The base is the number that is being raised to a power. In $$x^n$$ , x is the base.

What is the definition of the term 'coefficient'?

A coefficient is a numerical factor in a term of an algebraic expression. For example, in $$3x^2$$ , 3 is the coefficient.

What is the definition of 'like terms'?

Like terms are terms that have the same variable raised to the same power. For example, $$2x^2$$ and $$5x^2$$ are like terms.

What is the definition of the term 'simplify' in mathematics?

To simplify means to reduce an expression to its simplest form, making it easier to understand or work with.

What is the definition of the term 'expression' in mathematics?

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

What is the definition of the term 'equation'?

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equals sign ( = ).

Exponent Rules Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Power to a Power rule in exponents?

Back

When raising a power to another power, you multiply the exponents. For example, @@ \left(x^a\right)^b = x^{a \cdot b}@@.

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

What does the Quotient of Powers Property state?

Back

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of an exponent?

Back

Tags

CCSS.6.EE.A.1

7.

FLASHCARD QUESTION

Front

What is the Zero Exponent Rule?

Back

Tags

CCSS.8.EE.A.1

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