Express using positive exponents and simplify, if possible.
−8−1 + 8−2
−8−1 + 8−2 = -3
that's not right
sue but thanks for answering if that was answer i wouldn't anyone
You omitted your School Subject.
Did you omit something from the problem?
****correction****
that's not right sue if that was answer i wouldn't ask anyone for help i know that answer that's what i ask but still thanks for answering sue i really appreciate that
You have no exponents in your original question.
Ms Sue's answer is correct for the question you typed.
did you mean −8^−1 + 8^−2 ?
then
= 1/-8 + 1/8^2
If Reiny is right, then to simplify,
-1/8 + 1/8^2
= -8/8^2 + 1/8^2
= -7/8^2
or,
2
∑ -2^k/8^2
k=0
How's that for simple? And all positive exponents!
To express the given expression using positive exponents, we can utilize the property that any non-zero number raised to the power of -n is equal to its reciprocal raised to the power of n.
Let's start by applying this property to rewrite the expression:
(-8)^-1 + 8^-2
According to the property, (-8)^-1 is equal to 1/(-8)^1, while 8^-2 is equal to 1/8^2.
Now, let's simplify further:
1/(-8)^1 + 1/8^2
The expression (-8)^1 can be simplified to -8, and 8^2 is equal to 64:
1/(-8) + 1/64
Simplifying the fractions, we can rewrite -8 as -1/8 and 1/64 remains the same:
-1/8 + 1/64
To simplify the fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 64 is 64. Thus, we can rewrite both fractions with a common denominator of 64:
-8/64 + 1/64
Now, combining the fractions:
(-8 + 1)/64
Simplifying the numerator:
-7/64
So, the expression -8^-1 + 8^-2 expressed with positive exponents and simplified is -7/64.