Scientific notations
What is Scientific notation?
Use to Express a very or a very small number as the product of two numbers.
8.9+-9
0.1
3(5+2x)=8(5+x)
X=-25/2
When multiplying two powers with the same base,just add the exponents.
Product Law
What does a×10n represent?
Scientific notation
-144÷-12÷-6
-2
7x+8=10x-1
X=3
We can use the Expanding Products Rule Backwards to simplify expression of different bases but same index number.
Expanding Products Backwards
4.3×10to the power of 6
4 300 000
158-(12+36)÷4•3 to the power of 2
50
50+4=2a+7
a=1
When ever the bases are multiplied together,you must add the exponents.
1st Rule of Exponents
2.1×10 to the power of -3
0.21
3×3×3×3
3to the power of 4
4a-5=-2a+3
a=3
___________is used to Express a very large or a very small number as the product of two numbers.
Scientific notation
A negative exponent means we have to re-write our Power term as a_____
1/fraction
Step1:Determine the least common multiple of the denominators:LCM
Step2:Multiply both sides of the equation by the LCM.2a.Distributive 2b.combine LT
Step3:Use inverse operations to solve the equation.
Fractional Equation