Question

Evaluating an Expression
Rashad evaluated the power.

(−2
10
)4

His value is 8
40
. Is he correct? If not, what was his mistake?

Yes, he is correct.
No, his value should be negative.
No, he multiplied the exponent by the base.
No, he used the base as the exponent.

Answer 1

No — "No, he multiplied the exponent by the base."

He computed (-2/10)^4 by doing -2·4 and 10·4 to get 8/40. The correct operation is to raise numerator and denominator to the 4th power:

(-2/10)^4 = (-2)^4 / 10^4 = 16 / 10000 = 1/625.