Please check my answers on the following questions

Simplify:

(X^6)^1/2 = x^3

1000000^1/6 I don't know this one

(64n^12)^-1/6 = 1/0.5n^2

(9n^4)^1/2. = 3n^2

36^3/2 = my answer is 2 in the index of the aware root of 36^3

343^-4/3 I don't know this one

Thanks

Square root**

1000000 = 10^6, so (10^6)^1/6 = 10

(64n^12)^-1/6 = 1/2 n^2
64^-1/6 = 1/64^1/6 = 1/2, not 1/.5
.5 is already 2^-1

36^3/2 = (36^1/2)^3 = 6^3 = 216

343 = 7^3, so you have
1/7^4 = 1/2401

The others are ok

K thank u

A rectangle measures 12 cm by 10.5 cm. what is the greatest possible error for each measurement?

a.
0.12 cm, 0.105 cm
c.
0.5 cm, 0.05 cm
b.
6 cm, 5.25 cm
d.
0.05 cm, 0.005 cm

Sure, let's check your answers one by one:

1. Simplify: (X^6)^1/2 = x^3
Your answer: x^3
Correct answer: Incorrect

To simplify this expression, we need to apply the exponent rule for exponents of exponents.

When we raise an expression to an exponent and raise that resulting expression to another exponent, we multiply the exponents.

So, in this case:
(X^6)^1/2 = X^(6 * 1/2) = X^3

The correct answer is X^3.

2. Simplify: 1000000^1/6
Your answer: I don't know this one
Correct answer: 10

To simplify this expression, we need to find the sixth root of 1000000.

The sixth root of a number can be found by raising the number to the reciprocal of 6.
So, 1000000^1/6 = (1000000)^(1/6) = 10

The correct answer is 10.

3. Simplify: (64n^12)^-1/6
Your answer: 1/0.5n^2
Correct answer: 1/(2n^2)

To simplify this expression, we need to apply the negative exponent rule and simplify the exponent.

The negative exponent rule states that a^-n = 1/(a^n). Also, when there is a fractional exponent, we raise everything inside the parentheses to that exponent.

So, (64n^12)^-1/6 = 1/(64n^12)^(1/6) = 1/(2n^2)

The correct answer is 1/(2n^2).

4. Simplify: (9n^4)^1/2
Your answer: 3n^2
Correct answer: 3n^2

Your answer is correct. Good job!

5. Simplify: 36^3/2
Your answer: I'm not sure about this one
Correct answer: 216

To simplify this expression, we need to find the square root of 36 and then raise it to the power of 3.

The square root of 36 is 6. And then we raise 6 to the power of 3.

So, 36^(3/2) = (36^(1/2))^3 = (6)^3 = 216

The correct answer is 216.

6. Simplify: 343^-4/3
Your answer: I'm not sure about this one
Correct answer: 1/7

To simplify this expression, we need to find the reciprocal of the cube root of 343, and then raise it to the power of 4.

The cube root of 343 is 7. And then we take the reciprocal, which is 1/7.

So, 343^(-4/3) = (1/343)^(4/3) = (1/7)^4 = 1/7^4 = 1/2401

The correct answer is 1/7.

Overall, your answers were mostly correct. Great job!