Rational & Exponent Expressions

Rational & Exponent Expressions

Multiple Choice

Which expression is equivalent to $81$ ?

•  $9^2$  

•  $9^{-2}$  

•  $9^{\frac{1}{2}}$  

•  $9^{-\frac{1}{2}}$  

Multiple Choice

Which expression is equivalent to $\frac{1}{3}$ ?

•  $9^2$  

•  $9^{-2}$  

•  $9^{\frac{1}{2}}$  

•  $9^{-\frac{1}{2}}$  

Multiple Choice

Which expression is equivalent to $3$ ?

•  $9^2$  

•  $9^{-2}$  

•  $9^{\frac{1}{2}}$  

•  $9^{-\frac{1}{2}}$  

Multiple Choice

Which expression is equivalent to $\frac{1}{81}$ ?

•  $9^2$  

•  $9^{-2}$  

•  $9^{\frac{1}{2}}$  

•  $9^{-\frac{1}{2}}$  

 $9^x$  

Multiple Select

Match the 2 expressions that are equivalent. There will always be one expression that does NOT match.

Multiple Select

Match the 2 expressions that are equivalent. There will always be one expression that does NOT match.

Multiple Select

Match the 2 expressions that are equivalent. There will always be one expression that does NOT match.

Multiple Select

Match the 2 expressions that are equivalent. There will always be one expression that does NOT match.

Exponents & Radicals

• We can rewrite exponent expressions as radicals.

• We can rewrite radical expressions as exponents.

Multiple Select

For the expression, select the equivalent expression(s) using radicals.

Multiple Select

For the expression, select the equivalent expression(s) using radicals.

Multiple Select

For the expression, select the equivalent expression(s) using only exponents.

Multiple Select

For the expression, select the equivalent expression(s) using only exponents.

What happens when the power and root index are the same?

-Think about if the exponent is positive

- If the exponent is negative

Multiple Select

For example: What is this expression equivalent to?

Multiple Select

For example: What is this expression equivalent to?

Multiple Select

For example: What is this expression equivalent to?

Multiple Choice

So, what would be the result of cubing this expression?