Quiz about 1.15 Power Rule

Question 1

Which of the following expressions is equivalent to $$\left(p^8\right)^9?$$

Accepted Answer

$$p^{72}$$

Answer

$$p^{17}$$

Answer

$$p^{ }$$

Answer

$$p^{32}$$

Question 2

Which of the following expressions is equivalent to $$\left(r^5s^7\right)^6?$$

Accepted Answer

$$r^{30}s^{42}$$

Answer

$$r^{11}s^{13}$$

Answer

$$rs$$

Question 3

Which of the following expressions is equivalent to $$\left(a^{-9}b^{-8}\right)^{-7}?$$

Accepted Answer

$$a^{63}b^{56}$$

Answer

$$a^{-2}b^{-1}$$

Answer

$$a^{16}b^{15}$$

Answer

$$a^{-63}b^{-56}$$

Question 4

Which of the following expressions if equivalent to $$\left(8r^9\right)^3?$$

Accepted Answer

$$512r^{27}$$

Answer

$$24r^{12}$$

Answer

$$24r^{27}$$

Answer

$$11r^{12}$$

Question 5

Is the following algebraic expression $$\left(-3m^6n^7\right)^7\ $$ = $$-2187m^{42}n^{49}$$ ?

Accepted Answer

True

Answer

False

Question 6

Which of the following expressions is equivalent to $$\left(10w^9\right)^4?$$

Accepted Answer

$$10000w^{36}$$

Answer

$$10000w^{13}$$

Answer

$$40w^{13}$$

Answer

$$40w^{36}$$

Question 7

Which of the following expressions is equivalent to $$\left(-2m^9n^5p^{11}\right)^6?$$

Accepted Answer

$$64m^{54}n^{30}p^{66}$$

Answer

$$-12m^{54}n^{30}p^{66}$$

Answer

$$-12m^{15}n^{11}p^{17}$$

Question 8

Which expression is equivalent to $$\left(x^9yz^4\right)^5$$ ?

Accepted Answer

$$x^{45}y^5z^{20}$$

Answer

$$x^{14}y^5z^9$$

Answer

$$x^{45}y^5z^9$$

Answer

$$x^{14}yz^{20}$$

Question 9

$$\left(7a^6bc\right)^3=343a^{18}bc$$

Accepted Answer

False

Answer

True

Question 10

Which expression is equivalent to $$\left(-5a^6b^8c\right)^3?$$

Accepted Answer

$$-125a^{18}b^{24}c^3?$$

Answer

$$125a^{18}b^{24}c^3$$

Answer

$$-15a^{18}b^{24}c^3$$

Answer

$$15a^{18}b^{24}c^3$$

Question 11

Which expression is equivalent to $$\left(-6q^{12}rs^3\right)^4?$$

Accepted Answer

$$1296q^{48}r^4s^{12}$$

Answer

$$-1296q^{48}r^4s^{12}$$

Answer

$$-24q^{48}r^4s^{12}$$

Answer

$$-24q^{16}r^5s^7$$

Question 12

Which expression is equivalent to $$\left(64a^6b^{15}\right)^{\frac{1}{3}}?$$

Accepted Answer

$$4a^2b^5$$

Answer

$$21.3a^2b^5$$

Answer

$$4a^3b^{12}$$

Question 13

$$\left(4x^4y^{10}\right)^{\frac{1}{2}}=2x^2y^5$$

Accepted Answer

True

Answer

False

Question 14

Which expression is equivalent to $$\left(3t^{-3}u^{-2}v^{-5}\right)^{-2}?$$

Accepted Answer

$$\frac{1t^6u^4v^{10}}{9}$$

Answer

$$-9t^6u^4v^{10}$$

Answer

$$-6t^6u^4v^{10}$$

Answer

$$9t^6u^4v^{10}$$

Question 15

Simplify $$\left(\frac{1}{2}z^4w^2\right)^2$$

Accepted Answer

$$\frac{1z^8w^4}{4}$$

Answer

$$2z^8w^4$$

Answer

$$2z^8w^4$$

Answer

$$2z^6w^4$$

Question 16

Which value makes the statement true?

$$x^?y^5\circ\ x^5y^{12}=x^{12}y^{17}$$

Accepted Answer

7

Answer

6

Answer

1

Answer

5

Question 17

Use the Product Rule to simplify:

$$7x^3y^9z^7\circ-5y^8z^8$$

Accepted Answer

$$-35x^3y^{17}z^{15}$$

Answer

$$-35x^{15}y^{17}z^3$$

Answer

$$35x^3y^{17}z^{15}$$

Answer

$$2x^3y^{17}z^{15}$$

Question 18

To simplify an expression using the Quotient Rule:____________ the coefficients and _____________ the exponents.

Accepted Answer

divide, subtract

Answer

Distribute, multiply

Answer

Multiply, add

Answer

subtract, subtract

Question 19

Which of the following expressions is equivalent to $$\frac{-9m^{23}n^9}{-60n^2m^{-8}p^4}?$$

Accepted Answer

$$\frac{3m^{31}n^2}{20p^4}$$

Answer

$$\frac{3m^{25}n^{11}}{20p^4}$$

Answer

$$\frac{3m^{31}n^2p^4}{20}$$

Question 20

$$\frac{14p^3q^9r^4}{-50p^2rq^8}=-\frac{7pqr^3}{25}$$

Accepted Answer

True

Answer

False

1.15 Power Rule

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics