Rules of Exponents part one

Rules of Exponents part one

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Multiple Choice

What is the expanded form of  $x^3$  

•  $x\cdot x\cdot x$  

•  $x\cdot x$  

•  $x\cdot x\cdot x\cdot x\cdot x\cdot x$  

Multiple Choice

What is the expanded form of  $y^5$  

•  $y\cdot y\cdot y\cdot y\cdot y$  

•  $y\cdot y\cdot y$  

•  $x\cdot x\cdot x\cdot x\cdot x$  

Multiple Choice

What is the condensed form of  $x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x$  

•  $x^8$  

•  $x^7$  

•  $y^8$  

•  $y^7$  

Multiple Choice

What is the condensed form of  $y\cdot y\cdot y$  

•  $y^3$  

•  $x^3$  

•  $x^2$  

•  $x^3$  

Multiple Choice

What is the expanded form of  $x^3y^2z$  

•  $x\cdot x\cdot x\cdot y\cdot y\cdot z$  

•  $x\cdot y\cdot y\cdot z\cdot z\cdot z$  

•  $x\cdot y\cdot y\cdot y\cdot z\cdot z$  

Multiple Choice

What is the condensed form of  $x\cdot x\cdot y\cdot y\cdot y$  

•  $x^2y^3$  

•  $x^3y^2$  

•  $x^2z^3$  

•  $x^3z^2$  

Rule #1

 $a^m\cdot a^n=a^{m+n}$  

Multiple Choice

Simplify the following expression using our first rule of exponents.

 $x^5\cdot x^2$  

•  $x^7$  

•  $x^{10}$  

•  $x^3$  

•  $x^8$  

Multiple Choice

Simplify the following expression using our first rule of exponents.

 $y^{-3}y^3y^{ }$  

•  $y$  

•  $y^7$  

•  $y^4$  

•  $x^3$  

Multiple Choice

Simplify the following expression using our first rule of exponents.

 $x^2\cdot x^3\cdot y^4$  

•  $x^5y^4$  

•  $x^9$  

•  $y^9$  

•  $x^4y^5$  

Multiple Choice

Simplify the following expression using our first rule of exponents.

 $s^2t^2\cdot s^{-1}v^3$  

•  $st^2v^3$  

•  $s^3t^2v^3$  

•  $s^{-2}t^2v^3$  

Rule #2

 $\left(a^m\right)^n=a^{m\cdot n}$  

Multiple Choice

Simplify the following expression using our second rule of exponents.

 $\left(x^3\right)^3$  

•  $x^9$  

•  $x^6$  

•  $x^{27}$  

•  $x^0$  

Multiple Choice

Simplify the following expression using our second rule of exponents.

 $\left(y^{-2}\right)^{-1}$  

•  $y^2$  

•  $y^{-2}$  

•  $y^{-3}$  

•  $y^3$  

Multiple Choice

Simplify the following expression using our second rule of exponents.

 $\left(z^{0.5}\right)^{12}$  

•  $z^6$  

•  $z^{12.5}$  

•  $z^{-11.5}$  

•  $z^{24}$  

Multiple Choice

Simplify the following expression using our second rule of exponents.

 $\left(x^2y^3z\right)^4$  

•  $x^8y^{12}z^4$  

•  $x^6y^7z^5$  

•  $x^6y^7z^4$  

•  $x^8y^3z$  

Multiple Choice

Simplify the following expression using our second rule of exponents.

 $\left(cd^{1.5}\right)^{12}$  

•  $c^{12}d^{18}$  

•  $c^{13}d^{13.5}$  

•  $c^{13}d^{1.5}$  

•  $c^{12}d^{1.5}$  

Rule #3

 $\frac{a^m}{a^n}=a^{m-n}$  

Multiple Choice

Simplify the following expression using our third rule of exponents.

 $\frac{2^{10}}{2^8}$  

•  $2^2$  

•  $2^{18}$  

•  $2^{80}$  

Multiple Choice

Simplify the following expression using our third rule of exponents.

 $\frac{x^{-3}}{x^{-7}}$  

•  $x^4$  

•  $x^{-10}$  

•  $x^{21}$  

Multiple Choice

Simplify the following expression using our third rule of exponents.

 $\frac{y^{\frac{1}{2}}}{y^{-4.5}}$  

•  $y^5$  

•  $y^{-2.25}$  

•  $y^{-4}$  

Multiple Choice

Simplify the following expression using our third rule of exponents.

 $\frac{x^3y^{ }}{xy^{-5}}$  

•  $x^2y^6$  

•  $x^4y^{-4}$  

•  $x^3y^{-5}$  

Multiple Choice

Simplify the following expression using our third rule of exponents.

 $\frac{xyz^2}{y^{-1}z}$  

•  $xy^2z$  

•  $xy^0z^3$  

•  $x^1y^{-1}z^2$  

Still having trouble?

The videos from today's lesson are available in "5A notes: rules of exponents" in Today's Links.

5A practice is due this weekend! It will be your first grade for the 4th six weeks.