Question

2^2*2^-4 распишите пж решение , заранее спасибо

Answer 1

2^2•2^-4 = 4•1/2^4 = 4•1/16 = 1•1/4 = 1•0,25 = 0,25

Answer 2

2^2*2^-4=2^(2+(-4))=2^(-2)=1/2^2=1/4

Answer 3

Sure, let's solve the expression step by step:

1. First, recall the rule for multiplying numbers with the same base when they have exponents: a^m * a^n = a^(m+n).

2. Now, we have 2^2 * 2^(-4). According to the rule above, we can add the exponents since the base (which is 2) is the same.

3. 2^2 * 2^(-4) = 2^(2 + (-4)).

4. Now, simplify the exponent: 2 + (-4) = -2.

5. So, 2^2 * 2^(-4) is equal to 2^(-2).

6. Finally, recall the rule for negative exponents: a^(-n) = 1 / a^n.

7. Therefore, 2^(-2) = 1 / 2^2 = 1 / 4.

The final result is 1/4.