Rewrite the expression without using negative exponents. (Assume all variables represent nonzero real numbers.)
--5^ -2
A) 25
B) $- 25$
C) $- \frac { 1 } { 25 }$
D) $\frac { 1 } { 10 }$

Question

Rewrite the expression without using negative exponents. (Assume all variables represent nonzero real numbers.)
--5^ -2 
A) 25
B) $- 25$
C) $- \frac { 1 } { 25 }$
D) $\frac { 1 } { 10 }$

Quizplus · Accepted Answer

The expression given is:
-5^(-2)
To rewrite this without the negative exponent, we take the reciprocal of -5 and then raise it to the power of 2:
(-1/5)^2
When we square -1/5, we square both the numerator and the denominator:
(-1)^2 / 5^2 = 1 / 25
Therefore, the expression -5^(-2) rewritten without negative exponents is:
1 / 25
Looking at the options provided:
A) 25
B) -25
C) -1 / 25
D) 1 / 10
The correct answer is not listed because the expression simplifies to 1 / 25, which is not one of the options provided. However, if we consider that the negative sign in the original expression might have been intended to be outside the exponentiation (which is a common mistake), then the correct answer would be:
-1 * 5^(-2) = -1 * (1 / 5^2) = -1 / 25
In that case, the correct answer would be:
C) -1 / 25

Rewrite the Expression Without Using Negative Exponents −25- 25−25 C) −125- \frac { 1 } { 25 }−251​

Rewrite the Expression Without Using Negative Exponents $- 25$ C) $- \frac { 1 } { 25 }$