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#1 What is the value of the expression 7–3? Answers: A. –21 B. - 1/343 C.1/343 D. 343 

#2What is the value of the expression 1/5^-5? Answers: A. 1/3125 B.1/25 C.25 D. 3125

 #3What is the value of the expression 2/4^-3?Answers: A. 1/32 B. 1/6 C.128 D.256  

#4  What value of k solves the equation? K^-2=1/64 Answers: A.1/8 B. 8 C. 32 D. 128

 #5 What value of n solves the equation? 4^N= 1/64   Answers: A. –3   B. 3   C. 16   D. 256



Sagot :

Kate200468idn
[tex]\#1\ \ \ 7^{-3}= \frac{1}{7^3} = \frac{1}{343}\ \ \ \Rightarrow\ \ \ Ans.\ C\\ \\ \#2\ \ \ \frac{1}{5^{-5}}=5^5=3125\ \ \ \Rightarrow\ \ \ \ Ans.\ D\\ \\ \#3\ \ \ \frac{2}{4^{-3}}=2\cdot4^{3}=2\cdot 64=128\ \ \ \Rightarrow\ \ \ Ans.\ C\\ \\\#4\ \ \ K^{-2}= \frac{1}{64} \ \ \Rightarrow\ \ \ \frac{1}{K^2} = \frac{1}{64}\\\\ .\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ K^2=64 \ \ \Rightarrow\ \ K=8\ \ \Rightarrow\ \ Ans.\ B\\ \\ [/tex]

[tex]\#5\ \ \ 4^N= \frac{1}{64}\ \ \Rightarrow\ \ \ 4^N=4^{-3}\ \ \ \Rightarrow\ \ \ N=-3\ \ \ \Rightarrow\ \ \ Ans.\ A[/tex]
Riiaidn

First question

The given expression is

[tex]7^{-3}[/tex]

Which can also be written as

[tex]\frac{1}{7^3}= \frac{1}{343}[/tex]

Therefore the correct option is C.

2.

The given expression is

[tex]\frac{1}{5^{-5}}[/tex]

Which can also be written as

[tex]5^5 = 3125[/tex]

So the correct option is D

3.

The given expression is

[tex]\frac{2}{4^{-3}}[/tex]

Which can also be written as

[tex]2*4^3 = 2* 64=128[/tex]

And the correct option is C

4.

The given equation is

[tex]k^{-2} = \frac{1}{64} \\ k^2 = 64 \\ k^2 = 8^2 \\ k=8[/tex]

So the correct option is B

5.

The given equation is

[tex]4^N = \frac{1}{64} \\ 4^N = 4^{-3} \\ N =-3[/tex]

And the correct option is A .

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