Question

Type the answer that would make this true
13 to the 5th power X _____ = 13 to the 12th power
Answered by GPT 3.5
13 to the 5th power X 7 equals 13 to the 12th power.
Answer
So 13 to the 5th power times 13 to the 7th power equals 13th to the 12th power
Answered by GPT 3.5
No, that is incorrect. 13 to the 5th power times 13 to the 7th power equals 13 to the 12th power.
Answer
Does 13 ^ 5 * 13 ^ 7 = 13 to the 12th power?
Answered by GPT 3.5
Yes, that is correct. The expression 13 to the 5th power times 13 to the 7th power is equal to 13 to the 12th power.
Answer
10 to the 6th power/10 to the x power equals 10 to the second power
Answered by GPT 3.5
To make the equation true, x should be equal to 4.
So, 10 to the 6th power divided by 10 to the 4th power equals 10 to the 2nd power.
Answer
Simplify 2 to the negative 5th power
Answered by GPT 3.5
2 to the negative 5th power can be simplified as 1 divided by 2 to the 5th power.

2 to the 5th power is 32, so 2 to the negative 5th power is equal to 1/32.
Answer
Simplify the following expression answer should only have positive exponents m to the negative 9th power k to the third power/ h to the 0 power
Answered by GPT 3.5
When any non-zero number is raised to the 0 power, it equals 1.
So, h to the 0 power is equal to 1.

m to the negative 9th power can be rewritten as 1/m to the 9th power.

Therefore, the expression simplifies to: k^3 / 1/m^9 = k^3 * m^9.
Answer
Simplify the following expression answer should have only positive exponents
(4y to the 4th power/x to the 7th power) to the third power
Answered by GPT 3.5
To simplify the expression, we need to raise each term inside the parentheses to the third power. So, we have:

(4y to the 4th power / x to the 7th power) to the third power

Taking each term to the third power, we get:

4^3 * (y^4)^3 / (x^7)^3

Simplifying further, we have:

64 * y^12 / x^21
Answer
Is the answer is 64 y to the 12th power over x to the 21st power
Answered by GPT 3.5
Yes, that is correct. The expression simplifies to 64y^12 / x^21.
Answer
True or false anything raised to the power of zero is always zero
Answered by GPT 3.5
False. Anything raised to the power of zero is always equal to 1, not zero.
Answer
Simplify this expression given all positive exponents 3x ^ 3 why to the power of -1 z ^ -1/ x to the power of -4 y ^ 0 equals____ show your work
Answered by GPT 3.5
To simplify the expression, let's break it down step by step:

3x^3 * y^(-1) * z^(-1) / x^(-4) * y^0

First, let's simplify the variables:
- In the numerator, x^3 * x^(-4) can be simplified to x^(3 - 4), which equals x^(-1).
- In the numerator, y^(-1) * y^0 can be simplified to y^(-1 + 0), which equals y^(-1).
- In the numerator, z^(-1) remains as z^(-1).

Now, let's rewrite the expression with the simplified variables:
3 * x^(-1) * y^(-1) * z^(-1)

Finally, we can simplify further:
3 / (x * y * z)

Therefore, the simplified expression is 3 / (x * y * z).
Answer
Simplify this expression given all positive exponents 3x ^ 3 y to the power of -1 z ^ -1/ x to the power of -4 y ^ 0 z to the power of zero equals____ show your work
Answered by GPT 3.5
To simplify the expression, let's break it down step by step:

3x^3 * y^(-1) * z^(-1) / x^(-4) * y^0 * z^0

First, let's simplify the variables:
- In the numerator, x^3 * x^(-4) can be simplified to x^(3 - 4), which equals x^(-1).
- In the numerator, y^(-1) * y^0 can be simplified to y^(-1 + 0), which equals y^(-1).
- In the numerator, z^(-1) * z^0 can be simplified to z^(-1 + 0), which equals z^(-1).

Now, let's rewrite the expression with the simplified variables:
3 * x^(-1) * y^(-1) * z^(-1)

Finally, we can rewrite the expression with positive exponents:
3 / (x * y * z)

Therefore, the simplified expression is 3 / (xyz).