which of the following is developed to be equivalent to 1/8^5

A) 8^5
B) 8-^5
C) 8 1/5
D) 5-^8

To find the equivalent value of 1/8^5, we need to simplify the expression.

1/8^5 = 1/(8*8*8*8*8) = 1/32768

Out of the given options, none of them is equal to 1/32768.

Therefore, none of the options A, B, C, or D is correct.

which of the following is developed to be equivalent to 6-^

I apologize, but the expression "6-^" is incomplete and does not make sense mathematically. It is not possible to determine an equivalent value without a complete expression or equation. If you are able to provide the full expression or clarify the intended meaning, I would be happy to assist you further.

which of the following is developed to be equivalent to 6-^2

The expression "6-^2" is still incomplete and does not make sense mathematically. It seems like there is a missing operand or operator in the expression.

If you are trying to find the square of 6, it would be represented as "6^2" rather than "6-^2". In that case, the answer would be:

(6)^2 = 6 * 6 = 36

If you meant something else or if there is additional information missing from the expression, please provide more details so that I can assist you better.

which of the following is an equivalent expression to 13-^5 x 113-^11 with only positive exponents, generated by applying the properties of exponents

A) 1/26^6
B) 1/13^16
C) 1/13^6
D) 1/26^16

To simplify the expression 13-^5 x 113-^11 and convert it into an equivalent expression with only positive exponents, we can apply the properties of exponents.

First, let's simplify 13-^5 and 113-^11 individually.

13-^5 = 1 / 13^5

113-^11 = 1 / 113^11

Now, let's substitute these simplified expressions back into the original expression:

(1 / 13^5) x (1 / 113^11)

To multiply these two fractions, we multiply the numerators and denominators together:

(1 x 1) / (13^5 x 113^11)

Therefore, the expression is equivalent to 1 / (13^5 x 113^11).

Out of the given options, only option B) 1/13^16 matches this simplified expression.

Therefore, the correct answer is B) 1/13^16.