Quiz about Algebra 1 Unit 2 Lesson 1 Practice

Question 1

The power of a power law of exponents states to keep the (base / coefficient / exponent) and then (add / subtract / multiply) the powers.

Accepted Answer

base

Accepted Answer

multiply

Answer

coefficient

Answer

exponent

Answer

add

Question 2

Determine an equivalent algebraic monomial expression for each expression using the laws of exponents. Show your work. $$(-8a^5b)(3ab^4)$$

Accepted Answer

$$-24a^6b^5$$

Answer

$$-24a^5b^4$$

Answer

$$-5a^6b^5$$

Answer

$$-24a^4b^9$$

Question 3

Determine an equivalent algebraic monomial expression for each expression using the laws of exponents. Show your work. $$(-\frac{1}{4}x^3y^2)(4x^8y^3)(-5y^2)$$

Accepted Answer

$$5x^{11}y^7$$

Answer

$$-5x^{11}y^7$$

Answer

$$-5x^{11}y^5$$

Answer

$$5x^{11}y^5$$

Question 4

Simplify the following expression: $$(2.8kj^9)(3.5k^8)\left(\frac{1}{3}k^5j^2\right)$$

Accepted Answer

$$3.2667k^{14}j^{11}$$

Answer

$$2.8k^{13}j^{11}$$

Answer

$$3.2667k^{22}j^{11}$$

Answer

$$3.2667k^{14}j^{7}$$

Question 5

Simplify the following expression: $$(-3mn^5p^4)^3$$ = _______

Accepted Answer

$$-27m^3n^{15}p^{12}$$

Answer

$$-9m^8n^{10}p^{7}$$

Answer

$$27m^3n^{8}p^{12}$$

Answer

$$-27m^3n^{8}p^{7}$$

Question 6

Simplify the following expression: $$(2.3c^4d^2)(-2.4c^{-3}d^3)(-c^2d^{-5})$$

Accepted Answer

$$5.52c^3$$

Answer

$$-5.52c^3d^2$$

Answer

$$-5.52c^3d^{-2}$$

Answer

$$5.52c^3d^2$$

Question 7

Simplify the following expression: $$\left(\frac{6}{5}r^8\right)^2(-9.6r^5s^4)^0$$ = _______

Accepted Answer

$$1.44r^{16}$$

Answer

$$0.36r^{-16}$$

Answer

$$-1.44r^{8}$$

Answer

$$1.44r^{-8}$$

Question 8

Simplify the following expression: $$(-8y^5z^3)(5y^2z^6)^3$$ = _______

Accepted Answer

$$-1000y^{11}z^{21}$$

Answer

$$-1000y^{7}z^{9}$$

Answer

$$-40y^{7}z^{18}$$

Answer

$$-8y^{15}z^{9}$$

Question 9

Simplify the following expression: $$\left(2x^2y^4\right)^3$$

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 10

Which expression is equivalent to the given?

Accepted Answer

-40x⁴y⁹

Answer

3x4y9

Answer

-3x³y¹⁸

Answer

-40x³y¹⁸

Algebra 1 Unit 2 Lesson 1 Practice

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