Product and Quotient Rules of Exponents (Alg)

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

What is the Product Rule of Exponents?

Back

The Product Rule states that when multiplying two expressions with the same base, you add the exponents: $a^m \times a^n = a^{m+n}$ .

FLASHCARD QUESTION

Front

What is the Quotient Rule of Exponents?

Back

The Quotient Rule states that when dividing two expressions with the same base, you subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$ .

FLASHCARD QUESTION

Front

Simplify: $\frac{a^{17}b^{10}}{a^2b^7}$

Back

$a^{15}b^3$ .

FLASHCARD QUESTION

Front

Simplify: $(x^3y^2)(xy^4)$

Back

$x^4y^6$ .

FLASHCARD QUESTION

Front

Simplify the expression: 5^2⋅5^1 = ?

Back

5^3.

FLASHCARD QUESTION

Front

Identify the exponent in the expression: 4^2 = 16

Back

FLASHCARD QUESTION

Front

True or False: The expression $a^0 = 1$ for any non-zero a.

Back

True.

FLASHCARD QUESTION

Front

What does it mean when an exponent is negative?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent: $a^{-n} = \frac{1}{a^n}$ .

FLASHCARD QUESTION

Front

What is the value of $x^0$ for any non-zero x?

Back

10.

FLASHCARD QUESTION

Front

If $a^m = a^n$ , what can we conclude about m and n?

Back

m = n.

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