Question

Negative Exponents:
1. What is the value of the expression 3^-4?
a) -81
b) -12
c) -1/81
d) 1/81
2. What is the value of the expression 1/4^3?
a) 12
b) 64
c) 1/64
d) 1/12
3. What is the value of the expression 2/4^3?
a) 1/32
b) 1/6
c) 128
d) 256
4. What value of K solves the equation, K^-3=1/27?
a) -81
b) -9
c) -3
d) 3
5. What value of N solves the equation, 3^N=1/81
a) -243
b) -27
c) -4
d) 3
Thank you so much!!

Answer 1

1) 3^(-4)=1/3^4=1/81
2)1/4^3=1/64
3)2/4^3=2/64=1/32
4)
\[k^{-3}=1/27\Rightarrow \frac{1}{k^3}=\frac{1}{3^3}\Rightarrow k=3\]
5)
\[3^{N}=1/81\Rightarrow {3^N}=\frac{1}{3^4}=3^{-4}\Rightarrow N=-4\]

Answer 2

@kerfuffle :Do u need help ???:)

Answer 3

Look :If we have a negative power have this :
2^-1=1/2^1
9^-3=1/9^3
Got it ??:)