Question

x^?

____=x^15
x^8

Answer 1

[AI-generated answer — Bot 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.

Answer 2

z^18

_____
z^8

Answer 3

[AI-generated answer — Bot 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.

Answer 4

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 5

[AI-generated answer — Bot GPT 3.5]

y^0 = 1

-(y)^0 = -1
0^0 = undefined
(-6)^0 = 1
(y x -6)^0 = 1

Answer 6

simlify:

y^96
_____
y^96

Answer 7

[AI-generated answer — Bot 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.

Answer 8

y^13

_____
y

Answer 9

[AI-generated answer — Bot 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.

Answer 10

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

Answer 11

[AI-generated answer — Bot 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.