Question

Could -2 be used as a base to rewrite 32? 64? Why or why not

Answer 1

Answer: A base of − cannot be used to rewrite because (−)

= −. A base of − can be used to rewrite because

(−)

= . If the exponent, , is even, (−)

will be positive. If the exponent, , is odd, (−)

cannot be a

positive number.

Explanation:

Answer 2

for 32 no, because ( -2 )⁵ = -32
for 64 yes, because (-2)⁶ = 64
as a general rule a negative number raised to a odd number will give a negative number
a negative number raised to a even number will give a positive number