Solution:
We solve this byrule of exponents and power. The exponent of any number represents how many times is the number being multiplied.
Given, 2 to the power of 20
Basically, therules for exponentsstates that if p is a positive integer and mis anyreal number, then pmcan be represented as:
pm= p× p×… × m(mtimes)
Hence, 2 to the power of 20 can be written as 220.
Here, the number 2is called the base, whereas 20is the power or exponent of the expression.
Therefore, 220 = 2× 2× 2× 2× 2 × 2× 2× 2× 2× 2 × 2× 2× 2× 2× 2 × 2× 2× 2× 2× 2= 1048576
Hence,2 to the power of 20 is 1048576.
Summary:
2 to the power of 20 is 1048576.