Exponents and Logarithms

For all nonzero values of a and b, which of the following expressions is equivalent to  $-\frac{32a^5b^3}{4ab^2}$  

•  $-8a^4b^3$  

•  $-8a^6b^5$  

•  $-8a^4b$  

•  $-28a^6b^5$  

•  $-36a^4b^3$  

The expression  $\left(a^3\right)^5$  is equivalent to:

•  $a^8$  

•  $a^{15}$  

•  $a^{243}$  

•  $5a^2$  

•  $5a^3$  

For all positive values of x, which of the following expressions is equivalent to the expression above?

• $x^1$

• $x^3$

• $x^{\frac{3}{2}}$

• $x^{\frac{8}{17}}$

• $x^{\frac{17}{8}}$

Which of the following expressions is equivalent to $\left(a^4b^5c^2\right)\left(a^2b^2c^3\right)$ for all real values of a, b and c?

•  $a^6b^{10}c^8$  

•  $a^8b^{10}c^6$  

•  $a^8b^7c^8$  

•  $a^{12}b^{10}c^8$  

•  $a^6b^7c^5$  

What real value of x satisfies the equation $\log_416^4=2x$ ?

• 2

• 3

• 4

• 8

• 16

When 3⁸⁷ is multiplied out, what is the digit in the ones place?

• 1

• 2

• 3

• 7

• 9

For all positive x and y, $x^{\frac{3}{4}}y^{\frac{5}{3}}$ can be written in which of the following radical forms? 

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