$$\frac{1}{c^7}$$ - This is the simplified form of the expression.

Write $$a^{-2}$$ with positive exponents.

$$\frac{1}{a^2}$$ - Negative exponents can be rewritten as fractions.

Simplify $$\frac{m+6}{m-3}$$ .

$$\frac{7}{m-3}$$ - This is the simplified form of the expression.

What is the product of $$a^m$$ and $$a^n$$ ?

$$a^{m+n}$$ - When multiplying like bases, add the exponents.

What is the quotient of $$a^m$$ and $$a^n$$ ?

$$a^{m-n}$$ - When dividing like bases, subtract the exponents.

What is $$a^0$$ equal to?

1 - Any non-zero number raised to the power of zero is equal to one.

How do you express $$\frac{1}{a^{-n}}$$ ?

$$a^n$$ - The negative exponent in the denominator can be rewritten as a positive exponent.

What is the simplified form of $$c^{60} \cdot c^{-7}$$ ?

$$c^{53}$$ - Add the exponents when multiplying like bases.

What is the simplified form of $$\frac{c^7}{c^{17}}$$ ?

$$\frac{1}{c^{10}}$$ - Subtract the exponents when dividing like bases.

What is the range of a function that outputs all real numbers?

(-∞, ∞) - The range includes all real numbers.

What is the simplified form of $$\frac{7}{m+6} + \frac{1}{m-3}$$ ?

$$\frac{7(m-3) + 1(m+6)}{(m+6)(m-3)}$$ - Combine fractions by finding a common denominator.

What is the value of $$\frac{1}{x^{-3}}$$ ?

$$x^3$$ - Negative exponents indicate the reciprocal.

Exponent and Rationals Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the range of the graph of a function that starts at 1 and goes to infinity?

Back

[1, ∞) - The range includes all values from 1 to infinity.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Rewrite using a positive exponent: 7^-10.

Back

6.

FLASHCARD QUESTION

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

7.

FLASHCARD QUESTION

Front

Back

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