Exponential Equations - Practice

According to the properties of exponents, any value that is raised to the zero power is equal to what value?

• 0

• 1

• Whatever that value is

• 5

Simplify the expression:

 $\frac{x^8}{x^2}$  

•  $x^6$  

•  $x^2$  

•  $x^4$  

•  $4x$  

Simplify the expression:

 $\frac{12x^9y^4z^2}{24x^3y^4z^6}$  

•  $2x^3z^3$  

•  $\frac{x^6}{2z^4}$  

•  $\frac{x^3}{2z^3}$  

•  $\frac{2x^6}{x^4}$  

2x³y⁵ * 5xy²

• 10x⁴y⁷

• 7x⁴y⁷

• 10x³y¹⁰

• 7x³y¹⁰

(5x²y²)³

• 125x⁶y⁶

• 15x⁶y⁶

• 8x⁵y⁵

• 15x⁵y⁵

 $4^x\ -1\ =\ 15$ : Which of the following are actions one will execute at some point while solving the given exponential equation? [Select all that apply]

• Subtract 1 from both sides

• Equate exponents

• Add 1 to both sides

• Re-write 15 as 4 to some power

• Re-write 16 as 4 to some power

• Yes, she is perfectly right

• No, there is an error in step 4, she didn't equate the right quantities

• Not correct. She made an error moving from step 4 to step 5

• Not correct. Incorrect use of the distributive law in step 4

• Not correct. She got it wrong in step 2 and the rest of steps are flawed

Solve 3³ = 3^{4x + 2}

• ¼

• -¼

• ½

• -½

solve for x.

 $2^x=2^{3x-4}$  

• 2

• -2

• 1/2

• 4/3

solve for x.

 $3^{2x-1}\cdot3^4=3$  

• 1/2

• 5/8

• -1

• 8/5