Answer:
1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: ![\mathbf{5^3a^2b^4c}](https://tex.z-dn.net/?f=%5Cmathbf%7B5%5E3a%5E2b%5E4c%7D)
5. ![x^-6 = \frac{1}{x^6}](https://tex.z-dn.net/?f=x%5E-6%20%3D%20%5Cfrac%7B1%7D%7Bx%5E6%7D)
6. ![5^{-3}.3^{-1}=\frac{1}{5^3.3^1}](https://tex.z-dn.net/?f=5%5E%7B-3%7D.3%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B5%5E3.3%5E1%7D)
7. ![a^{-3}b^0c^4=\frac{c^4}{a^3}](https://tex.z-dn.net/?f=a%5E%7B-3%7Db%5E0c%5E4%3D%5Cfrac%7Bc%5E4%7D%7Ba%5E3%7D)
Step-by-step explanation:
Question 1:
We need to rewrite the expression using exponents
5.a.b.b.5.c.a.b.5.b
We will first combine the like terms
5.5.5.a.a.b.b.b.b.c
Now, if we have 5.5.5 we can write it in exponent as: ![=5^{1+1+1}=5^3](https://tex.z-dn.net/?f=%3D5%5E%7B1%2B1%2B1%7D%3D5%5E3)
a.a as
b.b.b.b as: ![b^{1+1+1+1}=b^4](https://tex.z-dn.net/?f=b%5E%7B1%2B1%2B1%2B1%7D%3Db%5E4)
So, our result will be:
![5^3a^2b^4c](https://tex.z-dn.net/?f=5%5E3a%5E2b%5E4c)
Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: ![\mathbf{5^3a^2b^4c}](https://tex.z-dn.net/?f=%5Cmathbf%7B5%5E3a%5E2b%5E4c%7D)
Question:
Rewrite using positive exponent:
The rule used here will be:
which states that if we need to make exponent positive, we will take it to the denominator.
Applying thee above rule for getting the answers:
5)
6) ![5^{-3}.3^{-1}=\frac{1}{5^3.3^1}](https://tex.z-dn.net/?f=5%5E%7B-3%7D.3%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B5%5E3.3%5E1%7D)
7) ![a^{-3}b^0c^4=\frac{b^0c^4}{a^3}](https://tex.z-dn.net/?f=a%5E%7B-3%7Db%5E0c%5E4%3D%5Cfrac%7Bb%5E0c%5E4%7D%7Ba%5E3%7D)
We know that
so, we get
![a^{-3}b^0c^4=\frac{b^0c^4}{a^3}=\frac{c^4}{a^3}](https://tex.z-dn.net/?f=a%5E%7B-3%7Db%5E0c%5E4%3D%5Cfrac%7Bb%5E0c%5E4%7D%7Ba%5E3%7D%3D%5Cfrac%7Bc%5E4%7D%7Ba%5E3%7D)
Answer:
d
Step-by-step explanation:
A. Between 500 cm and 700 cmB. Between 550 cm and 650 cmC. Between 5.0 cm and 6.0 cmD. Between 5.5 cm and 6.4 cm A B C D
to round off to the nearest cm of 6. the value must be between 5.5 and 6.4
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Answer B! Hope this helps
$25. 25 x 3 is 75. Plus the 100 is 175. 200 - 175 is $25
Y=mx+b
m=slope
pareaell lines have same slope
so if it is paralell to y=(1/2)x+8 ten the slope is 1/2
so
y=(1/2)x+b
find b
the point (-2,2)
x=-2 and y=2
sub
2=(1/2)(-2)+b
2=-1+b
3=b
y=(1/2)x+3 is the equation