Multiplying Monomials
Dividing Monomials
Raising Powers to a Power
Negative and Zero Exponents
Scientific and Decimal Notation
100
Write the product using exponents$\colon$ $q \cdot q \cdot q \cdot q \cdot q \cdot q$
$q^{6}$
100
Simplify and Evaluate $\colon \left(\frac{6^{11}}{6^{8}}\right)$
$6^{3} = 216$
100
Simplify$\colon \left ( \frac{3}{x} \right )^{2}$
$\left ( \frac{9}{x^{2}} \right )$
100
Evaluate the expression $\colon 2^{-5}\cdot 2^{0}$
$\frac{1}{32}$
100
What is the value of $10^{8}$?
100,000,000.
200
Write the product using exponents$\colon$ $t^{5}\cdot t^{5}$
t^{10}
200
Simplify $\colon \left(\frac{y^{5}}{z^{9}}\right)^{6}$
$\frac{y^{30}}{z^{54}}$
200
Simplify$\colon (-v^{4})^{6}$
$v^{24}$
200
Simplify and write the expression with positive exponents only $\colon 3x^{-1}y^{0}$
$\frac{3}{x}$
200
What is the value of $(1\times 10^{2})^{3}$?
$(1\times 10^{6}) = 1,000,000$
300
Simplify$\colon (-2k^{3})\cdot(-2k^{4})\cdot(-2k^{6})$
$ -8k^{13}$
300
Simplify$\colon \frac{24x^{6}y^{4}}{-4x^{5}y} $
$-6xy^{3} $
300
Simplify$\colon 9(5g^{4})^{3}$
$1125g^{12}$
300
Simplify the expression with positive exponents only $\colon \frac{x^{-4}}{x^{-9}}$
$x^{5}$
300
Write this number in scientific notation $\colon 0.00000580$
$5.80\times 10^{-6}$
400
Simplify$\colon (7s^{4}t^{4})\cdot(5s^{2}t)$
$35s^{6}t^{5}$
400
Simplify the expression $\colon \left(\frac{3a^{3}b^{4}}{5a^{2}b^{3}}\right)^{2}$
$\frac{9a^{2}b^{2}}{25}$
400
Evaluate$ ( ka)^{e}$ for $k = 4, a = 5, e = 2$
$(4\cdot 5)^{2} = 4^{2}\cdot 5^{2} = 400$
400
Simplify the expression using positive exponents only $\colon \frac{2a^{4}b^{-2}}{4a^{-3}b^{-8}}$
$\frac{a^{7}b^{6}}{2}$
400
Simplify the expression using scientific notation $\colon\frac{24\times 10^{2}}{6\times 10^{9}}$
$4\times 10^{-7}$
500
An amount of bacteria DOUBLES in size every HALF HOUR. If there was $2,000$ bacteria at $12\colon 00$PM, how much bacteria grew exponentially at $3\colon 00$PM ?
$2,000\cdot (2)^{6} = 128,000$ bacteria
500
Simplify $\colon \frac{12(x^{3}y)^{7}}{(2xy^{5})^{2}}$
$\frac{3x^{19}}{y^{3}}$
500
Simplify$\colon (3x^{3}y^{3})^{2}\cdot (-3x^{4}y^{2})^{2}$
$81x^{14}y^{10}$
500
Simplify the expression using positive exponents only $\colon\frac{28a^{4}b^{5}c^{-7}}{4a^{0}b^{-3}c^{3}}$
$\frac{7a^4b^8}{c^{10}}$
500
Convert the number from Scientific Notation to a Decimal Notation $ 5.5\times 10^{-9}$
$0.0000000055$
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