confused with these two

simplify 13 a/2 * 13 1/2
also
2 1/3* 4 1/3

13 a/2 * 13 1/2

= (13/2)(27/2) a
= 351 a/4

7/3 * 13/3 = 91/9

for 13 1/2 * 13 1/2 in my multiple choice it says the options are a) 13 b) 13 1/4 c) 1 or d 13 with the real number root

for 2 1/3 * 4 1/3
the options are a) 2 b) 4 c) 3 real number root 2 or d) real root 2

the real number root is on the graphing calculator if u press 2nd and x2 if what im saying is confusing

Hey, please use notation ^ for power.

13^(1/2) * 13^(1/2) = 13 ^1 = 13

2^(1/3) * 4^(1/3)
= 2^(1/3) * 2^(2/3)
= 2^1
= 2

To simplify the expressions, we can follow these steps:

1. Simplify each of the mixed numbers into improper fractions.
2. Multiply the two fractions together.
3. Simplify the resulting fraction if possible.

Let's start with the first expression:

Expression 1: 13 a/2 * 13 1/2

1. Convert 13 1/2 into an improper fraction:
Multiply the whole number (13) by the denominator (2) and add the numerator (1). This gives us 27/2.

2. Multiply the fractions:
(13 a/2) * (27/2)
Multiply the numerators: (13 * a * 27)
Multiply the denominators: (2 * 2)

So, the expression becomes (13a * 27) / (2 * 2).

3. Simplify the fraction, if possible:
To simplify further, we need to know the value of 'a'. Without additional information, we cannot simplify the expression any further.

Now let's move to the second expression:

Expression 2: 2 1/3 * 4 1/3

1. Convert 2 1/3 into an improper fraction:
Multiply the whole number (2) by the denominator (3) and add the numerator (1). This gives us 7/3.

2. Convert 4 1/3 into an improper fraction:
Multiply the whole number (4) by the denominator (3) and add the numerator (1). This gives us 13/3.

3. Multiply the fractions:
(7/3) * (13/3)
Multiply the numerators: (7 * 13)
Multiply the denominators: (3 * 3)

So, the expression becomes (7 * 13) / (3 * 3).

4. Simplify the fraction:
The numerator (7 * 13) is 91, and the denominator (3 * 3) is 9.
Therefore, the expression simplifies to 91/9 or can be further simplified to 10 1/9.

So, the simplified forms are:
1. 13 a/2 * 13 1/2 = (13a * 27) / (2 * 2)
2. 2 1/3 * 4 1/3 = 10 1/9