The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
<h3>How to express in standard form?</h3>
The expression is given as:
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Collect the like terms
8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³
Evaluate the like terms
7mn⁵ - 6m⁶ + 14m²n⁴+n⁶ - 5m³n³
Rewrite in standard form
n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶
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The first letter has 5 choices, second letter then has 4 choices, the third then has 3 choices. The first number has 10 choices, second number has 10 choices, third number has 10 choices.
So to find the total possibilities take 5*4*3*10*10*10 = 60,000
Step-by-step explanation:
B
1100
To find the sum of the first n terms of an arithmetic series use the formula,
S
n
=
2
n(a
1
+a
n
)
S
20
=
2
20(10+100)
S
20
=
2
2200
S
20
=1100
one way is this:
if the 2 integers are x and y, then
x<√98<y
if we assume that x and y aer both positive then
square everybody
x²<98<y²
solve each
x²<98
square root both sides
x<9.89
since x must be an integer, x=9
98<y²
squaer root both side
9.89<y
since y must be an integer, y=10
√98 lies between 9 an 10
