Question

What is the exponential form for 8x8x8x8 taking base as 2?

Answer 1

The exponential form of 8x8x8x8 is 2^(4*3) = 2^12.

Answer 2

The exponential form for 8x8x8x8 taking the base as 2 is 2^12, which is determined by expressing 8 as 2^3 and then using the rule of exponents to add together the four exponents.

Step-by-step explanation:

The exponential form for the expression 8x8x8x8 with base 2 is 212. To find this, we need to express the number 8, which is a base of 2 cubed (23 = 8), and since we have four of these eights multiplied together, we apply the rule of exponents that states when multiplying powers with the same base you add the exponents.

Hence, we have (23)4 = 23+3+3+3 = 212.