3 power by 4 ×2 power by 4
Answers
Step-by-step explanation:
For example, 3 to the power of 4:
xn=34
=3⋅3⋅3⋅3
=81
For example, 3 to the power of -4:
xn=3−4
=134
=13⋅3⋅3⋅3
=181
=0.012346
Exponent Notation:
Note that -42 and (-4)2 result in different answers: -42 = -1 * 4 * 4 = -16, while (-4)2 = (-4) * (-4) = 16. If you enter a negative value for x, such as -4, this calculator assumes (-4)n.
"When a minus sign occurs with exponential notation, a certain caution is in order. For example, (-4)2 means that -4 is to be raised to the second power. Hence (-4)2 = (-4) * (-4) = 16. On the other hand, -42 represents the additive inverse of 42. Thus -42 = -16. It may help to think of -x2 as -1 * x2 ..."[1]
Examples:
3 raised to the power of 4 is written 34 = 81.
-4 raised to the power of 2 is written (-4)2 = 16.
-3 raised to the power of 3 is written (-3)3 = -27. Note that in this case the answer is the same for both -33 and (-3)3 however they are still calculated differently. -33 = -1 * 3 * 3 * 3 = (-3)3 = -3 * -3 * -3 = -27.
For 0 raised to the 0 power the answer is 1 however this is considered a definition and not an actual calculation.
Exponent Rules:
xm⋅xn=xm+n
xmxn=xm−n
(xm)n=xm⋅n
(x⋅y)m=xm⋅ym
(xy)m=xmym
x−m=1xm
(xy)−m=ymxm
x1=x
x0=1
00=1(definition)
ifxm=ytheny=x−−√m=y1m
xmn=xm−−−