25 Questions
What is the base in the exponential expression 2^3?
2
What is the result of the expression 2^3 × 2^2?
2^5
What is the value of (3^2)^3?
3^6
What is the result of the expression 4^2 ÷ 4^3?
4^(-1)
What is the value of a^0, where a is any non-zero number?
1
What is the order of operations when evaluating an expression involving exponents, multiplication, and addition?
Parentheses, Exponents, Multiplication, Addition
What is the value of a^-2, where a is any non-zero number?
1/a^2
What is the scientific notation for the number 4000?
4 × 10^3
What is the decimal form of the number 2 × 10^-3?
0.002
What is the simplified form of the expression (2^3)^2 × 2^4?
2^12
What is the simplified form of the expression $a^2 imes a^{-3} imes a^4$?
$a^3$
What is the value of $a^{-2} imes b^2$ when $a = 2$ and $b = 3$?
$rac{3^2}{2^2}$
What is the simplified form of the expression $(a^2 imes b)^3$?
$a^6 imes b^3$
What is the result of the expression $(2^2)^3 \div 2^4$?
$2^2$
What is the scientific notation for the number 0.000006?
$6 imes 10^{-5}$
What is the result of the expression $a^2 imes a^3 \div a^4$ when $a = 2$?
$1$
What is the simplified form of the expression $(a^3)^2 imes a^5$?
$a^{11}$
What is the result of the expression $(3^2)^{-2} imes 3^5$?
$rac{3^5}{3^4}$
What is the simplified form of the expression $a^3 imes a^{-2} imes a^4$?
$a^5$
What is the scientific notation for the number 0.00000012?
$1.2 imes 10^{-7}$
What is the result of the expression $(2^3 imes 3^2)^{-2}$?
$rac{1}{108}$
What is the result of the expression $(a^2 imes b^3)^4 \div (a^3 imes b^2)^2$, when $a = 2$ and $b = 3$?
$432$
What is the scientific notation for the number $0.000000432$?
$4.32 imes 10^{-8}$
What is the simplified form of the expression $(a^2 imes b^3)^{-2} imes a^4 imes b^{-3}$?
$rac{1}{a^4 imes b^3}$
What is the result of the expression $a^3 imes a^{-2} imes a^4 \div a^5$, when $a = 2$?
$8$
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