Quiz about Understanding the Laws of Exponents

Question 1

What should you be confident with before learning the laws of exponents?

Accepted Answer

Basic concepts of exponents

Answer

Trigonometry

Answer

Algebraic expressions

Answer

Calculus

Question 2

What does any number raised to the zeroth power equal?

Accepted Answer

1

Answer

The number itself

Answer

0

Answer

Infinity

Question 3

How is a negative exponent interpreted in terms of division?

Accepted Answer

Division by the base raised to the positive exponent

Answer

Multiplication by the negative of the base

Answer

Subtraction from the base

Answer

Addition to the base

Question 4

What does x squared raised to the third power simplify to?

Accepted Answer

x to the sixth power

Answer

x to the third power

Answer

x to the ninth power

Answer

x to the fifth power

Question 5

When multiplying expressions with the same base, what should you do with the exponents?

Accepted Answer

Add them together

Answer

Multiply them

Answer

Divide them

Answer

Subtract them

Question 6

What is the result of dividing 5 to the third power by 5 to the second power?

Accepted Answer

5

Accepted Answer

5 to the first power

Answer

5 to the fifth power

Answer

25

Question 7

How can you simplify x to the fourth power over x to the sixth power?

Accepted Answer

x to the negative second power

Accepted Answer

1 over x squared

Answer

x to the second power

Answer

x to the tenth power

Question 8

What does the law involving the distribution of exponents over multiplication allow you to do?

Accepted Answer

Distribute the exponent to each factor in the group

Answer

Multiply the bases together

Answer

Cancel out the exponents

Answer

Combine different bases into one exponent

Question 9

If you have x squared times y squared, how can you rewrite it using the distributive law of exponents?

Accepted Answer

(x times y) squared

Answer

x to the fourth power times y squared

Answer

x squared plus y squared

Answer

x times y to the fourth power

Question 10

What is the simplified form of the expression x over y, all raised to the second power?

Accepted Answer

x squared over y squared

Answer

x squared over y

Answer

x over y squared

Answer

x times y squared

Question 11

What is the simplified form of $$x^4 \cdot x^{-2}$$ ?

Accepted Answer

$$x^2$$

Answer

$$x^6$$

Answer

$$\frac{1}{x^2}$$

Answer

$$2x^2$$

Question 12

Simplify $$x^{-3}$$ .

Accepted Answer

$$\frac{1}{x^3}$$

Answer

$$-x^3$$

Answer

$$x^3$$

Answer

$$\frac{x}{3}$$

Question 13

Simplify the expression $$\left(x^2\right)^3 \cdot x^{-4}$$ .

Accepted Answer

$$x^2$$

Answer

$$x^6$$

Answer

$$x^0$$

Answer

$$x^3$$

Question 14

Simplify using the Power of a Product Property: $$(2y)^3$$

Accepted Answer

$$8y^3$$

Answer

$$6y$$

Answer

$$2y^9$$

Answer

$$6y^3$$

Question 15

Simplify the expression: $$(3x^2)^3$$ .

Accepted Answer

$$27x^6$$

Answer

$$9x^5$$

Answer

$$3x^6$$

Answer

$$27x^5$$

Understanding the Laws of Exponents

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics