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
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. ;
No, -2 cannot be used to rewrite 32 since it results in a negative outcome when raised to any odd power. However, -2 can be used to rewrite 64, as raising it to the sixth power gives a positive result. Therefore, -2 is applicable for 64 but not for 32.
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