Quiz about M1TB study guide (laws of exponents)

Question 1

Which expression is NOT equivalent to $$\frac{2^7}{2^4}$$ ?

Accepted Answer

$$\left(2^3\right)^0$$

Answer

$$2^2\cdot2^1$$

Answer

$$2^3$$

Answer

$$\frac{1}{2^{-3}}$$

Question 2

What value of x makes the equation $$\left(a^2\cdot b^0\right)^3=a^x$$ true? Assume a and b are nonzero.

Accepted Answer

6

Answer

0

Answer

1

Answer

2

Question 3

Which expression is equivalent to $$\frac{\left(16^3\right)^2}{16^3\cdot16^2}$$

Accepted Answer

$$16^{11}\cdot16^{-10}$$

Answer

$$16^{-5\cdot6}$$

Answer

$$\left(16^{12}\right)^0$$

Answer

$$\left(16^{10}\right)^0$$

Question 4

Which expression is equivalent to $$9^6$$ ? Select all that apply.

Accepted Answer

$$\frac{1}{9^{-6}}$$

Accepted Answer

$$\left(9^{-3}\right)^{-2}$$

Answer

$$\left(9^{-2}\right)^3$$

Answer

$$\left(9^{-3}\right)^{-3}$$

Answer

$$\frac{1}{9^6}$$

Question 5

Which expression is equivalent to $$3^4$$

Accepted Answer

$$\frac{3^{12}}{3^8}$$

Answer

$$3^8\cdot3^4$$

Answer

$$3^8-3^{12}$$

Answer

$$\left(3^3\right)^{-7}$$

Question 6

What value of b makes the equation $$\left(\frac{6}{7}\right)^b=\frac{49}{36}$$ true?

Accepted Answer

-2

Answer

2

Answer

1

Answer

-1

Question 7

Which expression is equivalent to $$10^4\cdot10^2\cdot\left(10^4\right)^2$$ ?

Accepted Answer

$$10^{6+8}$$

Accepted Answer

$$10^{14}\cdot10^0$$

Answer

$$10^{4\cdot2\cdot8}$$

Answer

$$\left(10^{16}\right)^0$$

Answer

$$\left(10^{14}\right)^0$$

Question 8

What value of s makes the equation $$7^{14}=\frac{7^8}{7^s}$$ true?

Accepted Answer

-6

Answer

-4

Answer

6

Answer

4

Question 9

Which expression is equivalent to $$2^{-8}$$ ?

Accepted Answer

$$\frac{1}{2^8}$$

Answer

$$\left(2^{-4}\right)^{-4}$$

Answer

$$\frac{1}{2^{-8}}$$

Answer

$$\left(2^{-4}\right)^{-2}$$

Question 10

In the equation shown, what is the value of q? $$\frac{8^{-7}}{8^q}=8^{-2}$$

Accepted Answer

-5

Answer

-2

Answer

-3

Answer

-4

M1TB study guide (laws of exponents)

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