Question

Write (-8)^4 in expanded form

Answer 1

Write -8^4 in expanded form

Answer 2

5^-6×5^?=5^12

Find ?

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

Write z^18/z^8 in exponential form

Answer 8

Y^91/y^91 simplified

Answer 9

Simplify x10/x in exponential form

Answer 10

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

Answer 11

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

Answer 12

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 13

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 14

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 15

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 16

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 17

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 18

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 19

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.