Write (-8)^4 in expanded form
19 answers
(-8)^4 = (-8) * (-8) * (-8) * (-8) = 4096
Write -8^4 in expanded form
-8^4 = -(8 * 8 * 8 * 8) = -4096
5^-6×5^?=5^12
Find ?
Find ?
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.
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.
Find the missing value for x^5\cdotx^?=x^10
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.
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.
Find the missing value for 4^2×4^?=4^14
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.
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.
Simplify 9^11/9^-7 in exponential form
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.
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.
Find the missing value for x^?/x^7=x^17
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.
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.
Write z^18/z^8 in exponential form
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.
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.
Y^91/y^91 simplified
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.
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.
Simplify x10/x in exponential form
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.
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.