Which expression is equivalent to 44 ⋅ 4−9?
4^13
4^5
1/4^13
1/4^5
I assume you mean
4^4 * 4^-9 = 4^(4-9) = 4^-5 = 1/4^5
this better be correct.
YOU better be right or I am hunting you down.....
istg if its wrong
To find which expression is equivalent to 44 ⋅ 4−9, we need to simplify the given expression.
First, let's calculate 4−9. Since the exponent is negative, we need to take the reciprocal of 4 raised to the absolute value of the exponent.
4^-9 = 1/4^9
Now, we can substitute this value back into the original expression:
44 ⋅ 1/4^9
To simplify further, we can rewrite 44 as 4^2:
4^2 ⋅ 1/4^9
Using the exponent rule for multiplication, we can subtract the exponents when dividing numbers with the same base:
4^(2 - 9)
Simplifying the exponent:
4^-7
Therefore, the expression equivalent to 44 ⋅ 4−9 is 4^-7.
Now let's compare this with the given options:
a) 4^13: This is not equivalent to 4^-7.
b) 4^5: This is not equivalent to 4^-7.
c) 1/4^13: This is also not equivalent to 4^-7.
d) 1/4^5: This is the same as 4^-7.
So, the expression equivalent to 44 ⋅ 4−9 is 1/4^5.