1. What is the value of the expression \(7^{-3}\)?
A. \(-21\)
B. \(-\frac{1}{343}\)
C. \(\frac{1}{343}\)
D. \(343\)
2. What is the value of the expression \(\left(\frac{1}{5}\right)^{-5}\)?
A. \(\frac{1}{3125}\)
B. \(\frac{1}{25}\)
C. \(25\)
D. \(3125\)
3. What is the value of the expression \(\left(\frac{2}{4}\right)^{-3}\)?
A. \(\frac{1}{32}\)
B. \(\frac{1}{6}\)
C. \(128\)
D. \(256\)
4. What value of \(k\) solves the equation \(k^{-2} = \frac{1}{64}\)?
A. \(\frac{1}{8}\)
B. \(8\)
C. \(32\)
D. \(128\)
5. What value of \(n\) solves the equation \(4^N = \frac{1}{64}\)?
A. \(-3\)
B. \(3\)
C. \(16\)
D. \(256\)
Answer (3)
#1 7 − 3 = 7 3 1 = 343 1 ⇒ A n s . C #2 5 − 5 1 = 5 5 = 3125 ⇒ A n s . D #3 4 − 3 2 = 2 ⋅ 4 3 = 2 ⋅ 64 = 128 ⇒ A n s . C #4 K − 2 = 64 1 ⇒ K 2 1 = 64 1 . K 2 = 64 ⇒ K = 8 ⇒ A n s . B
#5 4 N = 64 1 ⇒ 4 N = 4 − 3 ⇒ N = − 3 ⇒ A n s . A
First question
The given expression is
7 − 3
Which can also be written as
7 3 1 = 343 1
Therefore the correct option is C.
The given expression is
5 − 5 1
Which can also be written as
5 5 = 3125
So the correct option is D
The given expression is
4 − 3 2
Which can also be written as
2 ∗ 4 3 = 2 ∗ 64 = 128
And the correct option is C
The given equation is
k − 2 = 64 1 k 2 = 64 k 2 = 8 2 k = 8
So the correct option is B
The given equation is
4 N = 64 1 4 N = 4 − 3 N = − 3
And the correct option is A .
The answers are: 1) C. 343 1 , 2) D. 3125 , 3) C. 128 , 4) B. 8 , 5) A. − 3 .
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