evaluate 9‐²×4³/4²×3-⁴
Answers
Answer:
Step-by-step explanation:
(−4)2=+16
−42=−16
(−4)2 means that the −4 is being squared (raised to the 2nd power) — in other words, the −4 is being multiplied by itself. Thus (−4)2=(−4)∗(−4)=+16 . This is because multiplying a negative by a negative always yields a positive number. Every time you multiply by a negative, the sign changes!
−42 , on the other hand, means that only the 4 is being squared, the negative is not. In other words, it is the opposite of the square of 4. You evaluate 42 first and THEN find the opposite. 42=4∗4=16 , and the opposite of 16 is −16 , thus −42=−16
Thus the answers for (−4)2 and −42 are different.
(−4)3=−64
−43=−4∗4∗4=−64
You can see that the answers for (−4)3 and 43 are the same.
(−4)3 means that the −4 is being cubed, or raised to the 3rd power. Thus (−4)3=(−4)∗(−4)∗(−4)=−64 . This is because every time you multiply by a negative, the sign changes! Which means that multiplying a negative, by a negative, BY A NEGATIVE produces a negative result. When you multiply a negative by a negative, the answer is positive, but when you multiply that positive result by a negative number, it always yields a negative result. (−4)∗(−4)∗(−4)=(+16)∗(−4)=−64
−43 means that the 4 is being raised to the 3rd power, and then you find the opposite of the value of 43 . So to evaluate −43 , you first evaluate that 43=4∗4∗4=64 , and then find the opposite of 64, in which the answer is −64 , the same answer that we got for (−4)3.
Regards,
Aaron Chao
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