How do you simplify $$\frac{a^5}{a^2}$$ ?

Using the quotient rule: $$a^{5-2} = a^3$$ .

If the area of a rectangle is $$40x^{11}y^{14}$$ and the length is $$4x^{9}y^{12}$$ , how do you find the width?

Use the formula: Width = Area / Length. Thus, Width = $$\frac{40x^{11}y^{14}}{4x^{9}y^{12}} = 10x^{2}y^{2}$$ .

What is the formula for the volume of a triangular prism?

The volume (V) of a triangular prism is given by: V = Base Area (B) × Height (H).

If the volume of a triangular prism is $$42a^{11}b^{8}c^{3}$$ and the height is $$7a^{9}b^{4}c^{2}$$ , how do you find the base area?

Base Area = Volume / Height. Thus, B = $$\frac{42a^{11}b^{8}c^{3}}{7a^{9}b^{4}c^{2}} = 6a^{2}b^{4}c$$ .

What is the area of a triangle formula?

The area of a triangle is calculated as: Area = 1/2 × Base × Height.

If the area of a triangle is $$80x^{15}y^{12}$$ and the base is $$16x^{5}y^{7}$$ , how do you find the height?

Height = Area / Base. Thus, Height = $$\frac{80x^{15}y^{12}}{16x^{5}y^{7}} = 10x^{10}y^{5}$$ .

What does it mean to simplify an expression with exponents?

Simplifying an expression with exponents means to reduce it to its simplest form, using rules of exponents to combine like terms.

What is the significance of the base in an exponent?

The base is the number that is being multiplied by itself, and it determines the value of the exponentiation.

How do you express $$\frac{a^2b^2}{9}$$ in simplest form?

It is already in simplest form, as the numerator and denominator have no common factors.

A1H 11.2 - Division properties of exponents Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the quotient rule for exponents?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What is the product rule for exponents?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of an exponent?

Back

7.

FLASHCARD QUESTION

Front

What is the area of a rectangle formula?

Back

The area of a rectangle is calculated as: Area = Length × Width.

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