simplify 2 the 3rd power . 2 the 7th power
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the numerical statement:
2 to the 3rd power . 2 to the 7th power
Solution:
The given numerical statement can be written as,
(2)^3 . (2)^7
In order to simply the given numerical statement, we simply need to apply the rules of exponent, which states that for similar values multiplied with different exponents, we simply add the exponents of the values. This can be represented as,
(n)^a (n)^b
= n^(a+b)
= (2)^3 (2)^7
= (2)^(7+3)
= (2)^10
= 1,024
Final answer:
= (2)^10 or 1,024