What is the result of $$\frac{9(z-3)^3}{3(z-3)^9}$$ for z≠3?

The result is $$\frac{3}{(z-3)^6}$$ .

What does $$(z-3)^3 / (z-3)^9$$ simplify to?

It simplifies to $$\frac{1}{(z-3)^6}$$ .

What is the definition of a base in exponents?

The base is the number that is being raised to a power in an expression like $$a^n$$ .

What is the definition of an exponent?

An exponent indicates how many times the base is multiplied by itself, as in $$a^n = a * a * ... * a$$ (n times).

What is the result of $$\frac{a^m}{a^n}$$ when m

The result is $$\frac{1}{a^{n-m}}$$ .

What is the simplified form of $$x^3 * x^5$$ ?

The simplified form is $$x^{8}$$ .

What is the result of $$\frac{a^5}{a^5}$$ ?

The result is 1, since any non-zero number divided by itself equals one.

What is the definition of a negative exponent?

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

What is the simplified form of $$\frac{(z-3)^3}{(z-3)^9}$$ ?

The simplified form is $$\frac{1}{(z-3)^6}$$ .

Bell Ringer - ACT Exponents Questions 01 and 02 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the rule for dividing exponents with the same base?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the rule for multiplying exponents with the same base?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

The value is 1, as any non-zero number raised to the power of zero equals one.

7.

FLASHCARD QUESTION

Front

What is the power of a power rule in exponents?

Back

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