2^-2•2^?=2^14
=?
2^-2 • 2^? = 2^14
Using the properties of exponents, we can simplify this equation:
2^-2 • 2^? = 2^14
Since the base (2) is the same on both sides, we can set the exponents equal to each other:
-2 + ? = 14
To isolate the variable, we can add 2 to both sides:
? = 14 + 2
Simplifying, we get:
? = 16
Therefore, the value of ? that makes the equation true is 16.
x^2\cdotx^?=x^11
?=
To solve for the value of ?, we can use the properties of exponents:
x^2 • x^? = x^11
When multiplying terms with the same base, we add the exponents:
x^(2 + ?) = x^11
To make the bases equal, we need the exponents to be the same. Therefore, we set 2 + ? = 11.
Solving for ?, we get:
? = 11 - 2
? = 9
Therefore, the value of ? that makes the equation true is 9.
5^8•5^?=5^15
?=
To find the value of ?, we can use the properties of exponents:
5^8 • 5^? = 5^15
When multiplying terms with the same base, we add the exponents:
5^(8 + ?) = 5^15
To make the bases equal, we need the exponents to be the same. Therefore, we set 8 + ? = 15.
Solving for ?, we get:
? = 15 - 8
? = 7
Therefore, the value of ? that makes the equation true is 7.
7^17
______
7^-2
To find the value of the expression 7^17 / 7^-2, we can use the properties of exponents:
7^17 / 7^-2
When dividing terms with the same base, we subtract the exponents:
7^(17 - (-2))
Simplifying the subtraction, we get:
7^(17 + 2)
Therefore, 7^17 / 7^-2 is equal to 7^19.
x^?
____ =x^15
x^8
To find the value of ?, we can use the properties of exponents:
(x^?) / (x^8) = x^15
When dividing terms with the same base, we subtract the exponents:
x^(? - 8) = x^15
To make the bases equal, we need the exponents to be the same. Therefore, we set ? - 8 = 15.
Solving for ?, we get:
? = 15 + 8
? = 23
Therefore, the value of ? that makes the equation true is 23.
To find the value of the question mark, we can use the properties of exponents:
First, let's simplify the left side of the equation:
2^-2 • 2^? = 2^( -2 + ? ) (using the property that when you multiply two exponents with the same base, you add the exponents)
Now we can set up an equation:
2^( -2 + ? ) = 2^14
To solve this equation, we can equate the exponents:
-2 + ? = 14
To isolate the question mark, we can add 2 to both sides:
? = 14 + 2
Therefore, the value of ? is 16.