Equivalent Expressions Involving Exponents

States how many times to use a base in a multiplication operation

• Base

• Exponent

• Multiplicative inverse

Expressions having the same value are called _________ expressions.

• Numeric

• Equivalent

• Algebraic

Students in Mr. Smith's math class write values involving exponents. The table shows each student's value.

Which pair(s) of students has (have) the same value? Select ALL that apply.

• Adam and Xavier

• Cheyenne and Sarah

• Hannah and Thiago

• Sarah and Xavier

• Thiago and Adam

John solved the following expression. What was his error? What should the answer be?

• He solved the problem correctly. The answer is 13.

• He did his exponents incorrectly. The correct answer is 28.

• He divided incorrectly. The correct answer is 16.

• He did his division before the exponents. The answer is 14.

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

• 9⁵

• 9¹⁵

• 9 x 5

• 9 + 9 + 9 + 9+ 9

Which of the expressions are equivalent to x⁶?

• only A and B

• only A and C

• only A, C and D

• All of the expressions

Which of the following is equivalent to 1? Select all that apply. (There are 2 answers)

• 4¹

• 4⁰

• 1⁵

• 2 / x²
• -2x²
• 2x²
• 2x¹⁴

Simplify the expression

Which of the following is not equivalent to the expression shown? 

• 3 ⋅ 3 ⋅ 3 ⋅ 3

• 12

• 9²

• 81