Lesson: Simplifying Exponential Expressions

In this lesson, we will learn how to simplify numerical and algebraic expressions using exponentials and know the notation used for exponential expressions.

Video

14:55

Sample Question Videos

  • 03:34

Worksheet: Simplifying Exponential Expressions • 22 Questions • 1 Video

Q1:

Write 7 × 7 × 7 × 7 in exponential form.

Q2:

Write 3 4 in expanded form.

Q3:

What is the exponent in 6 1 4 ?

Q4:

Calculate 4 5 × 4 5 3 2 .

Q5:

Write 7 7 7 7 𝑎 𝑎 2 2 2 2 2 𝑏 𝑏 𝑏 using exponents.

Q6:

Is the following correct: 2 = 2 × 4 4 ?

Q7:

Write 4 × 9 × 4 × 9 2 5 3 4 in the form 𝑎 𝑏 𝑚 𝑛 , where 𝑎 and 𝑏 are prime numbers.

Q8:

Write 3 4 3 × 3 × 3 4 3 × 3 2 3 4 4 in the form 𝑎 𝑏 𝑚 𝑛 where 𝑎 and 𝑏 are prime numbers.

Q9:

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

Q10:

Calculate 1 1 9 1 1 9 .

Q11:

Calculate 6 + 6 + 6 + 6 + 6 + 6 9 9 9 9 9 9 .

Q12:

What is 2 + 4 3 1 0 1 5 5 ?

Q13:

Which of the following is equal to 2 2 2 2 1 0 2 2 0 9 ?

Q14:

Simplify ( 2 5 ) × ( 8 ) ( 1 0 0 ) × 1 0 0 3 2 5 3 3 2 𝑥 𝑥 𝑥 .

Q15:

Determine the simplest form of ( 1 6 ) × 2 7 ( 1 4 4 ) × 8 1 3 2 1 3 3 2 𝑥 𝑥 𝑥 .

Q16:

Simplify ( 3 6 ) × 8 6 × ( 1 2 ) × 1 6 𝑥 + 𝑥 + 1 𝑥 1 𝑥 + 5 𝑥 1 1 2 .

Q17:

Simplify the expression 𝑡 𝑣 𝑡 𝑣 3 8 5 4 2 3 1 2 2 3 .

Q18:

Simplify the expression 𝑡 𝑣 𝑡 𝑣 3 8 5 4 2 3 1 2 .

Q19:

Which of the following is equal to 2 1 4 3 ?

Q20:

Which of the following is equal to 3 4 3 ?

Q21:

Which of the following is equal to ( 3 ) × ( 3 ) 3 4 ?

Q22:

Which of the following has the same value as 3 2 4 ?

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