Quiz about 10.1-10.4 QUIZ: Rules of Exponents

Question 1

Which is the BASE?

$$5^8$$

Accepted Answer

5

Answer

8

Question 2

Which is the EXPONENT?

$$7^3$$

Accepted Answer

3

Answer

7

Question 3

Write the product using exponents.

$$\left(-2\right)\cdot\left(-2\right)\cdot\left(-2\right)$$

Accepted Answer

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

Answer

$$\left(-8\right)^3$$

Answer

$$2^3$$

Answer

$$8^3$$

Question 4

Write the product using exponents.

$$4\cdot4\cdot4\cdot c\cdot c$$

Accepted Answer

$$4^3c^2$$

Answer

$$64^3c^2$$

Answer

$$64\cdot2c$$

Answer

$$64^32c^2$$

Question 5

Evaluate the expression.

$$\left(-3\right)^3$$

Accepted Answer

$$-27$$

Answer

$$-9$$

Answer

$$27$$

Answer

$$9$$

Question 6

Evaluate the expression.

$$\frac{3^4}{3^5}$$

Accepted Answer

$$\frac{1}{3}$$

Answer

$$3^9$$

Answer

$$3^1$$

Answer

$$1^{ }$$

Question 7

Simplify the expression. Write your answer as a power.

$$\left(-1\right)^3\cdot\left(-1\right)^2$$

Accepted Answer

$$\left(-1\right)^5$$

Answer

$$\left(-1\right)^1$$

Answer

$$1^5$$

Answer

$$1^1$$

Question 8

Simplify the expression. Write your answer as a power.

$$\left(b^4\right)^2$$

Accepted Answer

$$b^8$$

Answer

$$b^6$$

Answer

$$b^2$$

Answer

$$b^{42}$$

Question 9

Simplify the expression.

$$\left(4f\right)^3$$

Accepted Answer

$$64f^3$$

Answer

$$4f^3$$

Answer

$$12f^3$$

Question 10

Simplify the expression.

$$\left(-\frac{3}{8}t^2\right)^2$$

Accepted Answer

$$\frac{9}{64}t^4$$

Answer

$$\left(-\frac{3}{8}t^4\right)$$

Answer

$$-\frac{6}{16}t^4$$

Answer

$$-\frac{6}{8}t^2$$

Question 11

Simplify the expression. Write your answer as a power.

$$\frac{\left(-2\right)^{10}}{\left(-2\right)^5}$$

Accepted Answer

$$\left(-2\right)^5$$

Answer

$$\left(-2\right)^{15}$$

Answer

$$1^5$$

Answer

$$1^{15}$$

Question 12

Simplify the expression. Write your answer as a power.

$$\frac{5^4\cdot5^9}{5^6}$$

Accepted Answer

$$5^7$$

Answer

$$5^{19}$$

Answer

$$\frac{1}{5^{19}}$$

Answer

$$\frac{1}{5^{11}}$$

Question 13

Simplify the expression. Write your answer as a power.

$$\frac{x^{14}}{x^4\cdot x^2}$$

Accepted Answer

$$x^8$$

Answer

$$x^{20}$$

Answer

$$3x^{20}$$

Answer

$$3x^8$$

Question 14

Simplify the expression. Write your answer as a power.

$$\frac{y^3}{y^{11}}\cdot\frac{y^{21}}{y^9}$$

Accepted Answer

$$y^4$$

Answer

$$y^{44}$$

Answer

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

Answer

$$4y^{44}$$

Question 15

Simplify. Write the expression using only positive exponents.

$$4c^{-5}c^2$$

Accepted Answer

$$\frac{4}{c^3}$$

Answer

$$4c^7$$

Answer

$$4c^{-10}$$

Answer

$$4c^{-3}$$

Question 16

Simplify. Write the expression using only positive exponents.

$$\frac{3x^2}{9x^5}$$

Accepted Answer

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

Answer

$$\frac{1}{3x^7}$$

Answer

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

Answer

$$\frac{1}{3x^{10}}$$

Question 17

Is $$x^3x^5$$ equivalent to $$x^{15}$$ ? Explain.

Accepted Answer

No, to multiply powers with the same base add their exponents.

Answer

Yes. to multiply powers with the same base multiply their exponents.

Answer

No, to multiply powers with the same base subtract their exponents.

Answer

No, to multiply powers with the same base divide their exponents.

10.1-10.4 QUIZ: Rules of Exponents

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