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In this lesson, we will learn how to perform operations on powers of the same base of a rational number.

Q1:

Which of the following has the same value as − 1 1 2 ÷ − 1 1 2 ?

Q2:

Calculate 1 2 ÷ 1 2 ÷ 1 2 9 3 4 , expressing your answer in the simplest form.

Q3:

Calculate − 2 3 ÷ − 2 3 ÷ − 2 3 7 3 , expressing your answer in the simplest form.

Q4:

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

Q5:

Which of the following expressions has the same value as − 3 3 1 3 3 2 ?

Q6:

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

Q7:

Which of the following is equal to 2 3 4 ?

Q8:

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

Q9:

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

Q10:

Which of the following has the same value as 1 3 ÷ 1 3 3 2 ?

Q11:

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

Q12:

Find the value of 4 3 ÷ − 8 9 2 2 , giving your answer in simplest form.

Q13:

Find the value of 1 4 ÷ − 1 4 2 2 , giving your answer in simplest form.

Q14:

Find the value of 3 4 ÷ − 3 4 2 2 , giving your answer in simplest form.

Q15:

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

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