Exponent Rules
Anything raised to the zero power....
AND provide an example
is 1
(2^3*2^7)/2^10
2^0 =1
(5^2*5^4)/5^11
1/5^5
Write in scientific notation: 34,000,000
3.4 xx10^7
(4.3xx10^5)+(1.2xx10^5)
5.5xx10^5
When dividing with exponents that have like bases you.....
Subtract the exponents
(7^6)^2*7^5
7^17
(x^-4y^3)^-4
x^16/y^12
Write in scientific notation:
0.0000716
7.16 xx10^-5
(9.08xx10^-7)-(3.7xx10^-7)
5.38xx10^-7
When you have a power to a power you....
multiply the exponents
Select all expressions that are equivalent to (1/3)^-2
A. -(1/3)^2
B. 3^2
C. 1/(1/3)^2
D. 1/9
E. 9
B. 3^2
E. 9
((3^4)^2)/3^-3
3^11
Write in standard notation:
6.04 xx 10^-3
0.00604
(3.2xx10^5)(7.1xx10^4)
2.272xx10^10
What is wrong with this problem?
6^6 * 6^-11 = 6^-5
They did not change the negative exponent into a positive one by creating a fraction
6^-5 = 1/6^5
(2/3)^3
2^3/3^3=8/27
8^-8
1/8^8
Explain the error & rewrite correctly:
165,000=16.5 xx 10^4
16.5 is not correct, it should be between 1 & 10
165,000=1.65 xx10^5
The population in India is approximately 1.6 xx10^9 . The population in Bali is about 4,000,000. How many times greater is the the population in India than in Bali?
India is
4xx10^2
Times greater
Explain the error and correct:
(3^3)^-4/(3^-5*3^2) =3^-12/(3^-3) = 3^-15=1/(3^15)
-12 -(-3) is not -15. It is -9.
(3^3)^-4/(3^-5*3^2) =3^-12/(3^-3) = 3^-9=1/(3^9)
(ab^3)^4
a^4b^12
Which of the following are equivalent to 1/2^3
A. 1/8
B. (2*2^4)/2^2
C. 2^2/(2*2^4)
D. ((2^-2)^3)/(2^-5*2^-4)
E. ((2^2)^3)/(2^5*2^4)
1/8
2^2/(2*2^4)
((2^2)^3)/(2^5*2^4)
Explain the error & rewrite in correct scientific notation:
0.0000545=5.45 xx10^5
The exponent needs to be negative since its a decimal.
0.0000545=5.45 xx10^-5
Explain the error & fix it:
(4.6xx10^4)(1.2xx10^6)=5.52xx10^24
They multiplied the exponents when they were supposed to add them.
(4.6xx10^4)(1.2xx10^6)=5.52xx10^10