What is $$\frac{b^4}{b^4}$$ ?

Any non-zero number divided by itself is 1: $$\frac{b^4}{b^4} = 1$$ .

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Math

Number Sense

Exponent Operations

Exponent Operations: Product And Quotient Rules

Exponent Operations: Product and Quotient Rules

Flashcard

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

Define the Product Rule of Exponents.

Back

When multiplying two expressions with the same base, add the exponents: $a^m \times a^n = a^{m+n}$ .

FLASHCARD QUESTION

Front

Define the Quotient Rule of Exponents.

Back

When dividing two expressions with the same base, subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$ .

FLASHCARD QUESTION

Front

Simplify: $\frac{x^9}{x^2}$

Back

$x^7$ .

FLASHCARD QUESTION

Front

Simplify: $x^4 \times x^9$

Back

$x^{13}$ .

FLASHCARD QUESTION

Front

Simplify: $r^6 \times r^2 \times r^3$

Back

$r^{11}$ .

FLASHCARD QUESTION

Front

Simplify: $\frac{y^6}{y^3}$

Back

$y^3$ .

FLASHCARD QUESTION

Front

What is the result of $x^0$ ?

Back

Any non-zero number raised to the power of zero is 1: $x^0 = 1$ .

FLASHCARD QUESTION

Front

What happens when you multiply a number by 1?

Back

Multiplying any number by 1 leaves it unchanged: $a \times 1 = a$ .

FLASHCARD QUESTION

Front

What is the value of $x^{-n}$ ?

Back

The negative exponent indicates a reciprocal: $x^{-n} = \frac{1}{x^n}$ .

10.

FLASHCARD QUESTION

Front

Simplify: $\frac{a^5}{a^2}$

Back

$a^3$ .

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