Question
Simplify ^-3d8(-4d^-14) assume d=0
Answers
GPT 3.5
When evaluating the expression ^-3d8(-4d^-14), we first substitute d with 0:
^-3(0)8(-4(0)^-14)
Now, since any non-zero number raised to the power of -3 is equal to its reciprocal raised to the power of 3, we have:
1/^(8)(-4(0)^-14)
Since any non-zero number raised to the power of 0 is equal to 1, we have:
1/^(8)(-4(1))
This simplifies to:
1/^(8)(-4)
Finally, we evaluate 8 to the power of -4:
1/(-4)^8 = 1/65536
Therefore, the simplified expression is 1/65536.
^-3(0)8(-4(0)^-14)
Now, since any non-zero number raised to the power of -3 is equal to its reciprocal raised to the power of 3, we have:
1/^(8)(-4(0)^-14)
Since any non-zero number raised to the power of 0 is equal to 1, we have:
1/^(8)(-4(1))
This simplifies to:
1/^(8)(-4)
Finally, we evaluate 8 to the power of -4:
1/(-4)^8 = 1/65536
Therefore, the simplified expression is 1/65536.