Write in Scientific Notation
81
,
600
,
000
81,600,000
81 can be written as 8.1 x 10^1
600,000 can be written as 6 x 10^5
81,600,000 can be written as 8.16 x 10^7
Find the missing value for 3−6⋅3?=3113^{-6}\cdot3^?=3^{11}3
−6
⋅3
?
=3
11
.
To find the missing value, we can solve the equation given:
3^(-6) * 3^? = 3^11
When multiplying exponents with the same base, we add the exponents:
3^(-6 + ?) = 3^11
From here, we can set the exponents equal to each other to solve for the missing value:
-6 + ? = 11
Solving for ?, we get:
? = 11 - (-6)
? = 11 + 6
? = 17
Therefore, the missing value is 17.
Simplify 312⋅33^{12}\cdot3^{ }3
12
⋅3
and write your answer in exponential form. (Example: 525^25
2
not 252525 ).
To simplify and write in exponential form, we can combine the exponents with the same base:
312⋅33^{12}⋅3^{ }3
= 3^12 * 3^(3*12)
= 3^12 * 3^36
To combine the exponents, we add them:
3^12 * 3^36 = 3^(12+36)
Therefore, the simplified expression in exponential form is:
3^(12+36) = 3^48
3^12*3 and write your answer in exponential form. (Example: 5^2 not 25 ).
To simplify and write in exponential form, we multiply the numbers and keep the base:
3^12 * 3 = 3^(12+1)
Therefore, the simplified expression in exponential form is:
3^(12+1) = 3^13
x^16/x
When dividing with the same base, we subtract the exponents:
x^16 / x = x^(16-1) = x^15