Question

Write (-8)^4 in expanded form

Answer 1

[AI-generated answer — Bot GPT 3.5]

(-8)^4 = (-8) * (-8) * (-8) * (-8) = 4096

Answer 2

Write -8^4 in expanded form

Answer 3

[AI-generated answer — Bot GPT 3.5]

-8^4 = -(8 * 8 * 8 * 8) = -4096

Answer 4

5^-6×5^?=5^12

Find ?

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve for ?, we can use the property of exponents which states that when multiplying powers with the same base, we add the exponents.

According to the given equation:
5^-6 × 5^? = 5^12

Using the property mentioned above, we can write this as:
5^(-6 + ?) = 5^12

Therefore, we have:
-6 + ? = 12

Adding 6 to both sides of the equation:
-6 + 6 + ? = 12 + 6
? = 18

Thus, the value of ? is 18.

Answer 6

Find the missing value for x^5\cdotx^?=x^10

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the missing value, we can use the exponent rule which states that when multiplying powers with the same base, we add their exponents.

According to the given equation:
x^5 * x^? = x^10

Using the exponent rule, we can write this as:
x^(5 + ?) = x^10

Therefore, we have:
5 + ? = 10

Subtracting 5 from both sides of the equation:
5 + ? - 5 = 10 - 5
? = 5

Thus, the missing value is 5.

Answer 8

Find the missing value for 4^2×4^?=4^14

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the missing value, we can use the exponent rule which states that when multiplying powers with the same base, we add their exponents.

According to the given equation:
4^2 * 4^? = 4^14

Using the exponent rule, we can write this as:
4^(2 + ?) = 4^14

Therefore, we have:
2 + ? = 14

Subtracting 2 from both sides of the equation:
2 + ? - 2 = 14 - 2
? = 12

Thus, the missing value is 12.

Answer 10

Simplify 9^11/9^-7 in exponential form

Answer 11

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (9^11)/(9^-7) in exponential form, we can use the rule that states when dividing powers with the same base, we subtract their exponents.

According to the given expression:
(9^11)/(9^-7)

Using the exponent rule, we can write this as:
9^(11 - (-7))

Simplifying the exponent:
9^(11 + 7)

Therefore, the simplified expression in exponential form is 9^18.

Answer 12

Find the missing value for x^?/x^7=x^17

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find the missing value, we can use the exponent rule which states that when dividing powers with the same base, we subtract their exponents.

According to the given equation:
x^? / x^7 = x^17

Using the exponent rule, we can write this as:
x^(? - 7) = x^17

Therefore, we have:
? - 7 = 17

Adding 7 to both sides of the equation:
? - 7 + 7 = 17 + 7
? = 24

Thus, the missing value is 24.

Answer 14

Write z^18/z^8 in exponential form

Answer 15

[AI-generated answer — Bot GPT 3.5]

To write z^18/z^8 in exponential form, we can use the exponent rule that states when dividing powers with the same base, we subtract their exponents.

According to the given expression:
z^18 / z^8

Using the exponent rule, we can write this as:
z^(18 - 8)

Simplifying the exponent:
z^10

Therefore, the expression z^18/z^8 in exponential form is z^10.

Answer 16

Y^91/y^91 simplified

Answer 17

[AI-generated answer — Bot GPT 3.5]

When dividing powers with the same base, we subtract their exponents. Therefore,

y^91 / y^91 = y^(91 - 91)

Simplifying the exponent, we have:

y^0

Any non-zero number raised to the power of 0 is 1. Therefore,

y^91 / y^91 = 1.

Answer 18

Simplify x10/x in exponential form

Answer 19

[AI-generated answer — Bot GPT 3.5]

When dividing terms with the same base, we subtract their exponents.

According to the given expression:
x^10 / x

Using the exponent rule, we can write this as:
x^(10 - 1)

Simplifying the exponent:
x^9

Therefore, the simplified expression in exponential form is x^9.