Gr 9 MATH: Ch 3.1 Calculating with Numbers in Exponential Form
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Questions and Answers

What is the base in the exponential expression 2^3?

  • 2 (correct)
  • 23
  • 6
  • 3

What is the result of the expression 2^3 × 2^2?

  • 2^5 (correct)
  • 4^6
  • 2^6
  • 4^5

What is the value of (3^2)^3?

  • 3^5
  • 3^9
  • 3^6 (correct)
  • 3^8

What is the result of the expression 4^2 ÷ 4^3?

<p>4^(-1) (A)</p> Signup and view all the answers

What is the value of a^0, where a is any non-zero number?

<p>1 (B)</p> Signup and view all the answers

What is the order of operations when evaluating an expression involving exponents, multiplication, and addition?

<p>Parentheses, Exponents, Multiplication, Addition (B)</p> Signup and view all the answers

What is the value of a^-2, where a is any non-zero number?

<p>1/a^2 (B)</p> Signup and view all the answers

What is the scientific notation for the number 4000?

<p>4 × 10^3 (B)</p> Signup and view all the answers

What is the decimal form of the number 2 × 10^-3?

<p>0.002 (D)</p> Signup and view all the answers

What is the simplified form of the expression (2^3)^2 × 2^4?

<p>2^12 (C)</p> Signup and view all the answers

What is the simplified form of the expression $a^2 imes a^{-3} imes a^4$?

<p>$a^3$ (B), $a^3$ (D)</p> Signup and view all the answers

What is the value of $a^{-2} imes b^2$ when $a = 2$ and $b = 3$?

<p>$rac{3^2}{2^2}$ (A)</p> Signup and view all the answers

What is the simplified form of the expression $(a^2 imes b)^3$?

<p>$a^6 imes b^3$ (D)</p> Signup and view all the answers

What is the result of the expression $(2^2)^3 \div 2^4$?

<p>$2^2$ (B)</p> Signup and view all the answers

What is the scientific notation for the number 0.000006?

<p>$6 imes 10^{-5}$ (C)</p> Signup and view all the answers

What is the result of the expression $a^2 imes a^3 \div a^4$ when $a = 2$?

<p>$1$ (B)</p> Signup and view all the answers

What is the simplified form of the expression $(a^3)^2 imes a^5$?

<p>$a^{11}$ (D)</p> Signup and view all the answers

What is the result of the expression $(3^2)^{-2} imes 3^5$?

<p>$rac{3^5}{3^4}$ (D)</p> Signup and view all the answers

What is the simplified form of the expression $a^3 imes a^{-2} imes a^4$?

<p>$a^5$ (B)</p> Signup and view all the answers

What is the scientific notation for the number 0.00000012?

<p>$1.2 imes 10^{-7}$ (D)</p> Signup and view all the answers

What is the result of the expression $(2^3 imes 3^2)^{-2}$?

<p>$rac{1}{108}$ (B)</p> Signup and view all the answers

What is the result of the expression $(a^2 imes b^3)^4 \div (a^3 imes b^2)^2$, when $a = 2$ and $b = 3$?

<p>$432$ (A)</p> Signup and view all the answers

What is the scientific notation for the number $0.000000432$?

<p>$4.32 imes 10^{-8}$ (C)</p> Signup and view all the answers

What is the simplified form of the expression $(a^2 imes b^3)^{-2} imes a^4 imes b^{-3}$?

<p>$rac{1}{a^4 imes b^3}$ (A)</p> Signup and view all the answers

What is the result of the expression $a^3 imes a^{-2} imes a^4 \div a^5$, when $a = 2$?

<p>$8$ (A)</p> Signup and view all the answers

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