What is the value of (2^0-1+5^2-0)^-15?

(2^0-1+5^2-0)^-15 = (1-1+25-0)^-1 5 = 25^-1 5 = 125 5 = 15.

smc

prealgebra senior

Problem

What is the value of

(2^{0} - 1 + 5^{2} - 0)^{- 1} \times 5 ?

(A)

- 125

(B)

- 120

(C)

\frac{1}{5}

(D)

\frac{5}{24}

Solution

(2^{0} - 1 + 5^{2} - 0)^{- 1} \times 5 = (1 - 1 + 25 - 0)^{- 1} \times 5 = 2 5^{- 1} \times 5 = \frac{1}{25} \times 5 = \frac{1}{5}

Final answer