Question

СРОЧНО Если 2^a=3, то 4^a+1= ?

Answer 1

Ответ:

10

Объяснение:

4^a+1=(2^а)^2 + 1 =3^2 + 1=9+1=10

Answer 2

To find the value of 4^(a+1), we can use the property of exponents that states:

a^(m * n) = (a^m)^n

Now, given that 2^a = 3, we want to find the value of 4^(a+1). We can rewrite 4 as 2^2:

4 = 2^2

Now, we can substitute this into the expression for 4^(a+1):

4^(a+1) = (2^2)^(a+1)

Using the exponent property mentioned above, we can simplify further:

4^(a+1) = 2^(2 * (a+1))

Now, distribute the exponent:

4^(a+1) = 2^(2a + 2)

Since we know that 2^a = 3, we can substitute this value in:

4^(a+1) = 2^(2a + 2) = 2^(2 * a) * 2^2 = (2^a)^2 * 2^2 = 3^2 * 2^2

Finally, calculate the values:

4^(a+1) = 9 * 4 = 36

So, 4^(a+1) equals 36.