Question 1

Which exponential expression is equal to $2^{-5}\cdot2^8?$

Accepted Answer

$\frac{2^2}{2^{-1}}$

Answer

$\frac{2^{-2}}{2^{-1}}$

Answer

$(2^{-1})^3$

Answer

$(2^3)^{-1}$

Question 2

What is the value of $n$ in the 24 equation shown below?
$\quad2^2	imes 2^n = (2^4)^3$

Accepted Answer

10

Answer

12

Answer

6

Answer

5

Question 3

Which expression is equivalent to $2^2\cdot\frac{2}{2^4}?$

Accepted Answer

$2^{-1}$

Answer

$2^6$

Answer

$2^{-2}$

Answer

$2^7$

Question 4

Which expression is equivalent to $(5^{-2})^5	imes5^4 ?$

Accepted Answer

$\frac{1}{5^6}$

Answer

$5^7$

Answer

$\frac{1}{5^{40}}$

Answer

$5^{12}$

Question 5

Which expression is equivalent to $(7^{-8})\,(7^3)?$

Accepted Answer

$7^{-5}$

Answer

$49^{-11}$

Answer

$49^{-5}$

Answer

$7^{11}$

Question 6

Simplify.
$\quad 5^{-8}	imes5^4$

Accepted Answer

$\frac{1}{5^4}$

Answer

$-5^2$

Answer

$-5^{12}$

Answer

$\frac{1}{5^{32}}$

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