RevisionDojo

Exponent laws - MYP Questionbank | RevisionDojo

Practice Exponent laws with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

Fill in the Blank: When using exponent laws to simplify the product ${x^{n-1} \cdot x^{n+1}}$ , where ${x \neq 0}$ , the result is ________.

Question 2

Simplify the following expression:

\frac{y^7 \cdot y^{-3}}{y^2 \cdot y^2}

Question 3

True or False: For any non-zero real number ${x}$ , the value of the power ${x^{-2}}$ will always be a positive number.

Question 4

Simplify the expression: $\left(\frac{2a}{b^2}\right)^3$

Question 5

Fill in the blank: the expression $\dfrac{a^m}{a^n}$ requires the restriction ________ to be valid.

Question 6

Simplify the expression ${(x^2 y)^{-3} \cdot (xy^2)^3}$ and write it using only positive exponents.

Question 7

In the expression $-x^6$ , what is the base of the exponent?

Question 8

For a non-zero base $w$ , the expression $\frac{w^{12}}{(w^3)^4}$ simplifies to:

Question 9

Which of the following is equivalent to the expression:

\frac{1}{x^{-4} \cdot x^2}

where $x \neq 0$ ?

Question 10

Evaluate the following expression for any real value $x$ such that $x \neq 2$ :

(x-2)^0 + (2-x)^0

Type

Difficulty

Question 1

Fill in the Blank: When using exponent laws to simplify the product ${x^{n-1} \cdot x^{n+1}}$ , where ${x \neq 0}$ , the result is ________.

Question 2

Simplify the following expression:

\frac{y^7 \cdot y^{-3}}{y^2 \cdot y^2}

Question 3

True or False: For any non-zero real number ${x}$ , the value of the power ${x^{-2}}$ will always be a positive number.

Question 4

Simplify the expression: $\left(\frac{2a}{b^2}\right)^3$

Question 5

Fill in the blank: the expression $\dfrac{a^m}{a^n}$ requires the restriction ________ to be valid.

Question 6

Simplify the expression ${(x^2 y)^{-3} \cdot (xy^2)^3}$ and write it using only positive exponents.

Question 7

In the expression $-x^6$ , what is the base of the exponent?

Question 8

For a non-zero base $w$ , the expression $\frac{w^{12}}{(w^3)^4}$ simplifies to:

Question 9

Which of the following is equivalent to the expression:

\frac{1}{x^{-4} \cdot x^2}

where $x \neq 0$ ?

Question 10

Evaluate the following expression for any real value $x$ such that $x \neq 2$ :

(x-2)^0 + (2-x)^0

Type

Difficulty

Question 1

Fill in the Blank: When using exponent laws to simplify the product ${x^{n-1} \cdot x^{n+1}}$ , where ${x \neq 0}$ , the result is ________.

Question 2

Simplify the following expression:

\frac{y^7 \cdot y^{-3}}{y^2 \cdot y^2}

Question 3

True or False: For any non-zero real number ${x}$ , the value of the power ${x^{-2}}$ will always be a positive number.

Question 4

Simplify the expression: $\left(\frac{2a}{b^2}\right)^3$

Question 5

Fill in the blank: the expression $\dfrac{a^m}{a^n}$ requires the restriction ________ to be valid.

Question 6

Simplify the expression ${(x^2 y)^{-3} \cdot (xy^2)^3}$ and write it using only positive exponents.

Question 7

In the expression $-x^6$ , what is the base of the exponent?

Question 8

For a non-zero base $w$ , the expression $\frac{w^{12}}{(w^3)^4}$ simplifies to:

Question 9

Which of the following is equivalent to the expression:

\frac{1}{x^{-4} \cdot x^2}

where $x \neq 0$ ?

Question 10

Evaluate the following expression for any real value $x$ such that $x \neq 2$ :

(x-2)^0 + (2-x)^0

Exponent laws Questionbank