4^7/4^9
a) -16
b) 1/16
c) 1/8
d) 8******
4^7/4^9
= 1/4^2 = 1/16
tyy
To simplify the expression 4^7 / 4^9, we need to use the exponent rule which states that dividing two numbers with the same base is equivalent to subtracting their exponents.
In this case, the base is 4.
So, we subtract the exponent of the denominator from the exponent of the numerator:
4^7 / 4^9 = 4^(7-9) = 4^(-2)
Now, using the rule that any number raised to the power -n is equal to 1 divided by that number raised to the power n, we can rewrite 4^(-2) as:
1 / 4^2 = 1 / 16
Therefore, the answer is option b) 1/16.
To simplify the expression (4^7)/(4^9), you can use the rule of exponents that states when you divide two exponential expressions with the same base, you subtract the exponents. In this case, the base is 4, and the exponents are 7 and 9.
So, (4^7)/(4^9) can be rewritten as 4^(7-9).
When you subtract 9 from 7, you get -2. So, the expression becomes 4^(-2).
Now, 4 to the power of -2 can be written as 1/(4^2).
Calculating 4^2 gives us 16. So, 1/(4^2) is equivalent to 1/16.
Therefore, the simplified expression (4^7)/(4^9) is equal to 1/16.
The correct answer is b) 1/16.