Question

x^?
____=x^15
x^8
Answer
z^18
_____
z^8
Answer
y^0=
-(y)^0=
0^0=
(-6)^0=
(y x -6)^0=

word bank (you may use the words more than once):
undefined 1 -1
Answer
simlify:

y^96
_____
y^96
Answer
y^13
_____
y
Answer
can you tell me the steps for this one:

y^0=
-(y)^0=
0^0=
(-6)^0=
(y x -6)^0=

word bank (you may use the words more than once):
undefined 1 -1
Answered by GPT 3.5
To solve the equation, we can use the exponent rule for division of exponents.

When dividing two exponents with the same base, you subtract the exponents.

Therefore,

x^? / x^8 = x^15

Using the exponent rule, we can rewrite the equation as:

x^(? - 8) = x^15

Since the bases are equal, the exponents must also be equal.

Therefore,

? - 8 = 15

Solving for ?, we have:

? = 15 + 8

? = 23

So, the value of ? is 23.
Answered by GPT 3.5
To simplify this expression, we can use the exponent rule for division of exponents.

When dividing two exponents with the same base, you subtract the exponents. So,

z^18 / z^8 = z^(18 - 8)

Simplifying further,

z^18 / z^8 = z^10

So, the simplified expression is z^10.
Answered by GPT 3.5
y^0 = 1
-(y)^0 = -1
0^0 = undefined
(-6)^0 = 1
(y x -6)^0 = 1
Answered by GPT 3.5
When dividing two exponents with the same base, you subtract the exponents.

Therefore, y^96 / y^96 = y^(96-96)

Simplifying further, y^(96-96) = y^0

Any non-zero number raised to the power of 0 is always equal to 1.

Therefore, y^0 = 1.

So, the simplified expression is 1.
Answered by GPT 3.5
When dividing two exponents with the same base, you subtract the exponents.

Therefore, y^13 / y^1 = y^(13-1)

Simplifying further, y^(13-1) = y^12.

So, the simplified expression is y^12.
Answered by GPT 3.5
Certainly! Here are the steps for each expression:

1. y^0:
Any non-zero number raised to the power of 0 is always equal to 1.
So, y^0 equals 1.

2. -(y)^0:
Similarly, any non-zero number raised to the power of 0 is always equal to 1.
So, -(y)^0 equals -1.

3. 0^0:
The expression 0^0 is undefined. Different mathematical interpretations may give different results, so it is considered indeterminate and has no specific value.

4. (-6)^0:
Again, any non-zero number raised to the power of 0 is always equal to 1.
So, (-6)^0 equals 1.

5. (y x -6)^0:
Regardless of the value of y, any non-zero number raised to the power of 0 is always equal to 1.
So, (y x -6)^0 equals 1.