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In this lesson, we will learn how to simplify monomials using the quotient of powers.

Q1:

Simplify π₯ Γ π₯ Γ π₯ π₯ Γ π₯ Γ π₯ 9 5 6 6 8 2 .

Q2:

Simplify π₯ Γ· π₯ 6 4 .

Q3:

Simplify οΉ 6 π₯ β 3 π₯ ο Γ· 3 π₯ 3 3 2 .

Q4:

Simplify π₯ Γ π₯ π₯ 2 3 3 5 1 7 , where π₯ β 0 .

Q5:

Simplify π₯ π¦ Γ π₯ π¦ π₯ π¦ 4 4 2 4 4 3 .

Q6:

Simplify 6 Γ 6 Γ 6 Γ 6 Γ 6 Γ 6 6 + 6 + 6 + 6 + 6 + 6 π¦ π¦ π¦ π¦ π¦ π¦ π¦ π¦ π¦ π¦ π¦ π¦ .

Q7:

Simplify 1 2 5 Γ 2 5 2 5 Γ 5 π β 1 β π π .

Q8:

Simplify 4 Γ 4 ( 4 ) Γ 1 6 π₯ 4 π₯ 3 π₯ β 4 π₯ .

Q9:

Simplify π + π + π π + π + π π₯ + 9 π₯ + 8 π₯ + 7 π₯ β 2 π₯ β 3 π₯ β 4 .

Q10:

Calculate 7 Γ 5 β 9 Γ 5 3 Γ 5 β 5 5 π 5 π + 2 5 π + 1 5 π , giving your answer in its simplest form.

Q11:

Simplify 2 Γ 3 6 2 π₯ + 1 1 + 3 π₯ 2 π₯ and evaluate this expression when π₯ = 2 .

Q12:

Simplify 6 Γ 9 5 4 π π + π 1 2 .

Q13:

What is the value of 2 Γ 4 8 7 π + 2 7 π + 3 7 π ?

Q14:

Simplify π₯ Γ· π₯ 2 , given that π₯ β 0 .

Q15:

Which of the following is equal to π₯ + 1 π₯ 3 3 , where π₯ β 0 ?

Q16:

Simplify 2 5 6 Γ 1 6 6 4 Γ 6 4 π₯ β π₯ + π₯ β 1 π₯ + 2 1 4 1 4 .

Q17:

Simplify 1 5 Γ 2 7 3 Γ 5 2 π + 2 β π π 2 π + 2 , and evaluate this expression when π = 2 .

Q18:

Simplify 4 4 1 7 9 .

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