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In this lesson, we will learn how to use the rules of negative and fractional indices to solve problems.

Q1:

Express 1 5 π₯ β 6 1 9 in the form π β π π₯ π π .

Q2:

Which of the following is equal to ο» ο Γ ο» ο ο» ο 3 5 β 6 3 5 β 3 3 5 8 ?

Q3:

Simplify 6 Γ 3 2 β 3 β 1 .

Q4:

Simplify οΉ β 5 π ο οΉ β 7 π ο 9 7 .

Q5:

Evaluate 0 . 2 0 .

Q6:

Evaluate .

Q7:

If the expression οΌ 2 3 ο β 2 π¦ is rewritten in the form π π¦ , what is the value of π ?

Q8:

Simplify ο» β 8 ο β 2 .

Q9:

Which of the following is equal to ο» β 6 ο 4 ?

Q10:

Find the value of ο» β 9 ο 2 3 2 3 1 4 2 8 .

Q11:

Which of the following expressions is equal to ( β 2 ) Γ ( β 2 ) β 8 β 6 ?

Q12:

Simplify οΌ π π ο οΎ 2 π π ο β 1 β 3 β 2 β 2 β 3 .

Q13:

Which of the following is equal to β 1 0 9 π₯ π¦ β 2 β 7 ?

Q14:

Evaluate οΌ 6 4 2 7 ο β 2 3 .

Q15:

Let π₯ = ο‘ ο£ ο£ ο β 7 β 2 5 3 4 . Which of the following numbers is rational?

Q16:

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

Q17:

Which of the following is equal to ( β 3 ) Γ ( β 3 ) β 5 4 ?

Q18:

Which of the following expressions has the same value as οΉ 3 ο 2 β 4 ?

Q19:

Which of the following expressions has the same value as οΉ ( β 2 ) ο β 8 β 6 ?

Q20:

Which of the following expressions has the same value as οΎ οΌ β 3 4 ο ο 5 β 7 ?

Q21:

Which of the following is equal to οΌ 1 3 5 ο Γ οΌ 1 3 5 ο 2 β 3 ?

Q22:

Which of the following expressions has the same value as οΎ οΌ β 3 4 ο ο β 3 6 ?

Q23:

Which of the following is equal to οΌ β 3 1 2 ο β 2 ?

Q24:

Which of the following expressions has the same value as οΊ ( β 2 ) ο 5 β 3 ?

Q25:

Which of the following is equal to οΌ 3 4 ο Γ οΌ 3 4 ο 2 β 3 ?

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