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Questions and Answers
Which of the following expressions is equivalent to $(4ab)^3$?
Which of the following expressions is equivalent to $(4ab)^3$?
- $12a^3b^3$
- $64a^3b^3$ (correct)
- $4a^3b^3$
- $64ab^3$
The prime factorization of a number is $2^3 \times 3^2 \times 5$. What is the number?
The prime factorization of a number is $2^3 \times 3^2 \times 5$. What is the number?
- 720
- 180
- 360 (correct)
- 60
Simplify the expression: $\frac{5^7 \times 5^{-3}}{5^2}$
Simplify the expression: $\frac{5^7 \times 5^{-3}}{5^2}$
- $5^{12}$
- $5^3$
- $5^{-2}$
- $5^2$ (correct)
Which expression is equivalent to $(-a)^5$, assuming a is a positive integer?
Which expression is equivalent to $(-a)^5$, assuming a is a positive integer?
If $x = 2$ and $y = 3$, what is the value of $2x^2y^3$?
If $x = 2$ and $y = 3$, what is the value of $2x^2y^3$?
Express $0.000064$ in scientific notation.
Express $0.000064$ in scientific notation.
What is the value of x in the equation $3^{x+2} = 27$?
What is the value of x in the equation $3^{x+2} = 27$?
Which of the following is equivalent to the expression $\sqrt{16x^4y^6}$?
Which of the following is equivalent to the expression $\sqrt{16x^4y^6}$?
Given that $x^a = 5$ and $x^b = 3$, what is the value of $x^{a+b}$?
Given that $x^a = 5$ and $x^b = 3$, what is the value of $x^{a+b}$?
Determine the prime factorization of 360.
Determine the prime factorization of 360.
Given the expression $5 imes a imes a imes a imes 7$, which of the following correctly represents this expression in index form?
Given the expression $5 imes a imes a imes a imes 7$, which of the following correctly represents this expression in index form?
Express the prime factorisation of 216 in index form.
Express the prime factorisation of 216 in index form.
If $(ab)^2 = (3 imes 2)^2$, what is the value of $(ab)^2$?
If $(ab)^2 = (3 imes 2)^2$, what is the value of $(ab)^2$?
Simplify the expression $\frac{4d imes 2e}{4}$.
Simplify the expression $\frac{4d imes 2e}{4}$.
Rewrite $3xx imes 3xx imes 3xx imes xx$ using index notation.
Rewrite $3xx imes 3xx imes 3xx imes xx$ using index notation.
If a quantity decreases by 10% each time period, which expression calculates the number of periods, $x$, needed for an initial quantity of 12 to be less than or equal to 6.4?
If a quantity decreases by 10% each time period, which expression calculates the number of periods, $x$, needed for an initial quantity of 12 to be less than or equal to 6.4?
Which of the following represents the expanded form of $(Sw)^4$?
Which of the following represents the expanded form of $(Sw)^4$?
Which expression is equivalent to $3pq imes 3pq imes 3pq$?
Which expression is equivalent to $3pq imes 3pq imes 3pq$?
If $x$ is a negative number, which of the following expressions will always result in a positive number?
If $x$ is a negative number, which of the following expressions will always result in a positive number?
The number of bacteria in a petri dish triples every hour. If there were originally 1000 bacteria, which expression represents the number of bacteria after 5 hours?
The number of bacteria in a petri dish triples every hour. If there were originally 1000 bacteria, which expression represents the number of bacteria after 5 hours?
Flashcards
Index Notation
Index Notation
A way to represent repeated multiplication using a base and an exponent.
Prime Factorisation
Prime Factorisation
Writing a number as a product of its prime numbers.
Base (in Index Notation)
Base (in Index Notation)
The number that is multiplied by itself in index notation.
Exponent (or Index)
Exponent (or Index)
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Prime Number
Prime Number
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Expanded Form (Index Notation)
Expanded Form (Index Notation)
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Factor Tree
Factor Tree
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(-x)^odd = -x
(-x)^odd = -x
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(-x)^even = x
(-x)^even = x
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Index Form
Index Form
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Index/Exponent
Index/Exponent
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Expanded Form
Expanded Form
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Power of a product
Power of a product
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Negative numbers with exponents
Negative numbers with exponents
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Variable with an exponent.
Variable with an exponent.
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