How do you simplify $$\frac{a^m}{a^n}$$ ?

You subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

What is the first step in solving $$\text{if } (x-2)^3 + 4 = 68$$ ?

The first step is to subtract 4 from both sides: $$(x-2)^3 = 64$$ .

How do you solve $$\text{if } \text{sqrt}(x) = 9$$ ?

Square both sides to get $$x = 81$$ .

What does $$\text{sqrt}(x)$$ represent?

$$\text{sqrt}(x)$$ represents the principal square root of $$x$$ , which is the non-negative value that, when squared, gives $$x$$ .

What is the relationship between exponents and roots?

Exponents can be expressed as roots: $$x^{\frac{1}{n}} = \text{sqrt[n]{x}}$$ .

What is the formula for the area of a square?

The area of a square is given by the formula: $$A = s^2$$ , where $$s$$ is the length of a side.

How do you express $$\text{cube root of } x$$ in exponent form?

The cube root of $$x$$ can be expressed as $$x^{\frac{1}{3}}$$ .

What is the property of exponents that states $$a^m \times a^n = a^{m+n}$$ ?

This property states that when multiplying two powers with the same base, you add the exponents.

What is the value of $$\text{if } (2^3)^2$$ ?

The value is $$2^{3 \times 2} = 2^6 = 64$$ .

What does it mean to 'undo' an equation?

To 'undo' an equation means to perform operations in reverse order to isolate the variable.

IM Ch 3a Assessment: Rational Exponents (12-13-24)

Flashcard

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Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.A.1, HSN.RN.A.2, 8.EE.A.2

Standards-aligned

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FLASHCARD QUESTION

Front

What is a rational exponent?

Back

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the volume formula for a cube?

Back

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

1st: Subtract 17 from both sides; 2nd: Take the cube root of both sides.

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