An exponent is a number that indicates how many times to multiply the base by itself. For example, in $$x^3$$ , 3 is the exponent, meaning $$x$$ is multiplied by itself three times.

How do you simplify $$\frac{3}{-x^4y^7}$$ ?

The simplified form is $$\frac{-3}{x^4y^7}$$ .

How do you simplify $$\frac{-1}{3x^5y^7}$$ ?

The expression is already in its simplest form.

What is the result of $$\frac{2^{14}}{z^7}$$ when simplified?

The expression simplifies to $$4z^7$$ .

How do you simplify $$\frac{a^{-17}b^8c}{a^{-1}c^{-10}}$$ ?

The simplified form is $$\frac{b^8c^{11}}{a^{16}}$$ .

What is the simplified form of $$-10x^2y^6 + 25x^2y^8$$ ?

The simplified form is $$25x^2y^8 - 10x^2y^6$$ .

What does it mean to evaluate an expression using the same base?

Evaluating an expression using the same base involves applying the exponent rules to simplify the expression based on the common base.

What is the simplified form of $$\frac{25x^8y^2}{-10x^2y^6}$$ ?

The simplified form is $$-2.5x^6y^{-4}$$ .

What is the significance of simplifying expressions with exponents in mathematics?

Simplifying expressions with exponents helps in solving equations, making calculations easier, and understanding the relationships between different mathematical expressions.

Simplify Exponents Flashcard

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15 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 exponent rules such as the product rule, quotient rule, and power rule.

3.

FLASHCARD QUESTION

Front

What is the product rule for exponents?

Back

4.

FLASHCARD QUESTION

Front

What is the quotient rule for exponents?

Back

5.

FLASHCARD QUESTION

Front

What is the power rule for exponents?

Back

6.

FLASHCARD QUESTION

Front

What is the zero exponent rule?

Back

7.

FLASHCARD QUESTION

Front

What is the negative exponent rule?

Back

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