To simplify the expression, we can write it as a single fraction with the same base:
2^16 / 2^-5
First, let's move the negative exponent to the numerator by flipping the fraction:
2^16 * 2^5
Next, we can simplify the expression using the rule of exponents that states when you multiply two exponents with the same base, you add the exponents:
2^(16+5)
Adding the exponents, we get:
2^21
Therefore, the simplified expression is 2^21.
Simplify the following
2^16/2^-5
3 answers
Find the missing value
x^?/x^6=x^10
x^?/x^6=x^10
To find the missing value, we need to determine what power of x would make the equation x^? / x^6 = x^10 true.
Using the property of exponentiation that states when dividing two exponents with the same base, you subtract the exponents:
x^(? - 6) = x^10
We want the exponents to be equal on both sides of the equation, so ? - 6 = 10.
To solve for ?, we add 6 to both sides of the equation:
? = 10 + 6
?= 16
Therefore, the missing value is 16.
Using the property of exponentiation that states when dividing two exponents with the same base, you subtract the exponents:
x^(? - 6) = x^10
We want the exponents to be equal on both sides of the equation, so ? - 6 = 10.
To solve for ?, we add 6 to both sides of the equation:
? = 10 + 6
?= 16
Therefore, the missing value is 16.