What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4? 20 21 22 23
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the statement:
2 power 2 multiplied by 2 power 3 over 2 power 4
Determine the simplified expression.
Solution:
Before we can simplify the expression, we must change first the statement into a numerical expression.
2 power 2 multiplied by 2 power 3 over 2 power 4
=((2^2)(2^3))2^4
For us to simplify the expression, we apply the rules of exponents first on the numerator. The rules of exponent state that when multiplying two similar numbers with a degree, simply add the degree of the numbers together. This can be represented as,
(a^n)(a^n) = a^(n+n)
=((2^2)(2^3))2^4
= 2^5/2^4
For dividing similar numbers with exponents, we subtract the exponents.
a^n/a^n = a^(n-n)
= 2^5/2^4
= 2
Final answer:
2