Pre Algebra. Mod 3. unit review day one

Pre-Algebra​
Mid-Module Three LinkIT Assessment on Monday, January 26, 2026!

Multiple Choice

Which choice shows 8³ in expanded form?

• 8 • 3

• 8 • 8 • 8

• 3 • 3 • 3 • 3 • 3 • 3 • 3

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Multiple Choice

Write the expression using positive exponents.

$$\frac{6x^7}{2x^2}$$  

• 3x⁵

• 4x⁹

• 8x⁵

• 12x¹⁴

Multiple Choice

What is the Product of Powers Property?

• If x is a real number and m and n are positive integers, then x^m • x^n = x^(m+n)

• If x is a real number and m and n are positive integers, then x^m / x^n = x^(m-n)

• If x is a real number and m and n are positive integers, then x^m + x^n = x^(m+n)

• If x is a real number and m and n are positive integers, then x^m - x^n = x^(m-n)

Multiple Choice

10⁵ x  10⁷

• 10²
• 10³
• 10¹²
• 10¹³

Match

Match the following

• $$x^4\cdot x^7$$

• $$x^2\cdot x^3$$

• $$x\cdot x^6$$

• $$\left(x^2\right)\left(x\right)\left(x\right)$$

• $$x^3\cdot x^5\cdot x^2$$

• $$x^{11}$$

• $$x^5$$

• $$x^7$$

• $$x^4$$

• $$x^{10}$$

Match

Match the following

• $$2^2\cdot2^3$$

• $$2^3\cdot2^3$$

• $$4^4\cdot4^6$$

• $$4^4\cdot4^3$$

• $$b^m\cdot b^n$$

• $$2^5$$

• $$2^6$$

• $$4^{10}$$

• $$4^7$$

• $$b^{m+n}$$

Multiple Choice

Evaluate using the quotient rule: 

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰

Multiple Choice

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Multiple Choice

Power of Power Property states that, to find the power of a power ________ the exponents.

• multiply
• divide

• add

• subtract

Multiple Choice

What is the simplified form of (15³)⁹

• 15¹²

• 15³

• 15⁶

• 15²⁷

Multiple Choice

Simplify the expression (3²a⁴)³.

• 3a⁶

• 9a⁸

• 81a¹²

• 27a⁹

Multiple Choice

Rewrite the expression with a positive exponent: 8^-3

• 24

• 8³

• $$\frac{1}{8^3}$$

• $$\frac{8^3}{1}$$

Multiple Choice

Rewrite the expression with a positive exponent: $$\frac{1}{6^{-2}}$$

• 6^-2

• 6²

• 12

• 4

Multiple Choice

Simplify the expression so that it contains only positive exponents.

Multiple Choice

Evaluate the following expression: 1/3^-3. What is the value of this expression?

• $$\frac{1}{27}$$

• 27

• $$\frac{1}{9}$$

• 9

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident