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Exponent laws - MYP Questionbank | RevisionDojo

Practice Exponent laws with authentic MYP MYP Standard 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

Simplify the expression $(-1)^n \times (-1)^{n+1}$ for any integer $n$ .

Question 2

Which mathematical identity correctly demonstrates why $a^0 = 1$ for $a \neq 0$ using the quotient rule?

Question 3

Evaluate the expression $10^{-3}$ .

Question 4

The expression $\left(\frac{2}{3}\right)^{-2}$ is equivalent to _______.

Question 5

Which of the following is equivalent to the algebraic expression $(x^a y^b)^c$ ?

Question 6

Evaluate the following expression:

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

Question 7

If $a < 0$ , which of the following statements about $a^n$ is true?

Question 8

Simplify the following algebraic expression: $\left(\frac{x^{-2}}{y^{3}}\right)^{-1}$

Question 9

Which of the following is the correct simplified form of $(3y)^{-2}$ for $y \neq 0$ ?

Question 10

For any non-zero real number $k$ , the value of $k^0$ is:

Type

Difficulty

Question 1

Simplify the expression $(-1)^n \times (-1)^{n+1}$ for any integer $n$ .

Question 2

Which mathematical identity correctly demonstrates why $a^0 = 1$ for $a \neq 0$ using the quotient rule?

Question 3

Evaluate the expression $10^{-3}$ .

Question 4

The expression $\left(\frac{2}{3}\right)^{-2}$ is equivalent to _______.

Question 5

Which of the following is equivalent to the algebraic expression $(x^a y^b)^c$ ?

Question 6

Evaluate the following expression:

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

Question 7

If $a < 0$ , which of the following statements about $a^n$ is true?

Question 8

Simplify the following algebraic expression: $\left(\frac{x^{-2}}{y^{3}}\right)^{-1}$

Question 9

Which of the following is the correct simplified form of $(3y)^{-2}$ for $y \neq 0$ ?

Question 10

For any non-zero real number $k$ , the value of $k^0$ is:

Type

Difficulty

Question 1

Simplify the expression $(-1)^n \times (-1)^{n+1}$ for any integer $n$ .

Question 2

Which mathematical identity correctly demonstrates why $a^0 = 1$ for $a \neq 0$ using the quotient rule?

Question 3

Evaluate the expression $10^{-3}$ .

Question 4

The expression $\left(\frac{2}{3}\right)^{-2}$ is equivalent to _______.

Question 5

Which of the following is equivalent to the algebraic expression $(x^a y^b)^c$ ?

Question 6

Evaluate the following expression:

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

Question 7

If $a < 0$ , which of the following statements about $a^n$ is true?

Question 8

Simplify the following algebraic expression: $\left(\frac{x^{-2}}{y^{3}}\right)^{-1}$

Question 9

Which of the following is the correct simplified form of $(3y)^{-2}$ for $y \neq 0$ ?

Question 10

For any non-zero real number $k$ , the value of $k^0$ is:

Exponent laws Questionbank