Evaluate an expression with negative exponents
)^-3) -1 : need a step-by-step process on how we obtain the answer, 7.
Answer STEP 1:
To simplify the given expression:
we should first simplify the term,
and then subtract 1 from the obtained answer. We note that this term has negative exponent
The negative exponent rule states that any nonzero number raised to a negative power equals its reciprocal raised to the positive power. For instance, x-3
can be rewritten as:
Now, let us rewrite the term,
using the negative exponent rule.
We write the reciprocal of 1
first, and then raise it to the positive power 3.STEP 2:
Now, we are left with the expression 23 –1. Let us recall the exponential notation to simplify this expression.
For any natural number n
So, here it means that 2 is to be multiplied 3 times. We then subtract 1 from 23