An exponent is a number that indicates how many times to multiply the base by itself. For example, in $$2^3$$ , 2 is the base and 3 is the exponent, meaning $$2 \times 2 \times 2 = 8$$ .

How do you simplify the expression $$(5^2)^3$$ ?

To simplify $$(5^2)^3$$ , use the power of a power property: multiply the exponents. So, $$(5^2)^3 = 5^{2 \times 3} = 5^6$$ .

What is the value of $$x$$ if $$x^4 = 16$$ ?

To solve for $$x$$ , take the fourth root of both sides. Since $$2^4 = 16$$ , $$x = 2$$ .

What is the value of $$4z + 3$$ when $$z = 5$$ ?

Substituting $$z = 5$$ into the expression gives $$4(5) + 3 = 20 + 3 = 23$$ .

What is the result of $$2x + 5$$ when $$x = 3$$ ?

Substituting $$x = 3$$ into the expression gives $$2(3) + 5 = 6 + 5 = 11$$ .

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 can add the exponents.

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

This property states that when dividing two powers with the same base, you can subtract the exponents.

What is the value of $$5^0$$ ?

Any non-zero number raised to the power of 0 is equal to 1. Therefore, $$5^0 = 1$$ .

What is the cube root of 27?

The cube root of 27 is 3 because $$3^3 = 27$$ .

What does it mean to raise a number to a power?

Raising a number to a power means multiplying that number by itself a certain number of times, as indicated by the exponent.

What is the relationship between exponents and roots?

Exponents and roots are inverse operations. For example, taking the square root of a number is the same as raising that number to the power of 1/2.

Exponents and Roots Flashcard Flashcards

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1.

FLASHCARD QUESTION

Front

What is an exponent?

Back

Tags

CCSS.6.EE.A.1

2.

FLASHCARD QUESTION

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with their given values and performing the necessary operations.

Tags

CCSS.6.EE.A.2C

3.

FLASHCARD QUESTION

Front

What is the square root of a number?

Back

Tags

CCSS.8.EE.A.2

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Tags

CCSS.7.NS.A.3

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.EE.A.2C

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