Simplify the expression: $$\frac{12^2}{3m^8n^6}$$ .

$$\frac{12^4}{3^2m^{16}n^{12}}$$ .

What is the zero exponent rule?

The zero exponent rule states that any non-zero base raised to the power of zero equals one: $$a^0 = 1$$ .

What is the negative exponent rule?

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

What is the distributive property?

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Simplify the expression: $$\frac{(a^2b^3)^2}{a^3b}$$ .

$$\frac{a^{4}b^{6}}{a^3b} = a^{1}b^{5}$$ .

What is the significance of simplifying expressions in mathematics?

Simplifying expressions makes them easier to work with, helps in solving equations, and allows for clearer communication of mathematical ideas.

CPM CUA 5 Retake Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Define exponential notation.

Back

Exponential notation is a way of expressing numbers using a base and an exponent, where the exponent indicates how many times the base is multiplied by itself.

Tags

CCSS.6.EE.A.1

2.

FLASHCARD QUESTION

Front

What is the product of powers property in exponents?

Back

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

What is the power of a power property in exponents?

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the quotient of powers property in exponents?

Back

Tags

CCSS.8.EE.A.1

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