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In this lesson, we will learn how to simplify algebraic expressions as monomials using the “power of a power” property.

Q1:

Which of the following is equal to 3 2 4 5 ?

Q2:

Simplify ( 𝑥 ) 3 2 .

Q3:

Simplify 𝑥 𝑦 6 3 5 .

Q4:

Which of the following is equal to 3 ( 5 ) 2 ?

Q5:

Simplify √ 3 √ 3 1 1 8 8 1 1 .

Q6:

What is the value of √ 6 + √ 6 2 2 2 2 ?

Q7:

Simplify − 4 𝑥 𝑦 × 𝑥 𝑦 − 2 𝑥 𝑦 5 3 3 5 2 3 .

Q8:

Calculate 1 0 × 2 5 × 4 2 0 × 5 5 2 2 5 .

Q9:

Calculate ( − 1 ) − ( − 1 ) 1 5 1 6 4 5 .

Q10:

Which is greater, ( − 9 ) 3 5 or ( − 9 ) 8 1 0 ?

Q11:

Which of the following has the same value as 2 3 ( 2 ) 3 ?

Q12:

Using the power of a power rule, find the expression that is equivalent to 1 1 8 8 .

Q13:

Is it true that 𝑎 = 𝑎 𝑘 𝑙 𝑙 𝑘 ?

Q14:

Which of the following is equal to 1 2 2 3 ?

Q15:

Which of the following is equal to 3 0 ( 3 ) 2 ?

Q16:

Which of the following is equal to 4 2 2 7 ?

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