Given:
(4k⁷)³ = 4n(k⁷)³

Note that (aˣ)ⁿ = aˣⁿ

Expand the left and right sides.
4³k²¹ = 4nk²¹
Divide each side by k²¹.
4³ = 4n
Divide each side by 4.
4² = n
Therefore
n = 4² = 16

Answer: n = 16

5 0

2 years ago

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Find the value of 3mm(m+y)

malfutka [58]

Answer:

Step-by-step explanation:

3mn (m+y)

= 3 $m^{2}$ n + 3mny

4 0

2 years ago

Emily needs enough Fabric for 3 1/2 hats. Since she has half a hat done. If each bag requires 1 2/7 ft of Fabric, how much fabri

kow [346]

first off let's convert the mixed fractions to improper fractions.

$\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{2}{7}}\implies \cfrac{1\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{9}{7}}$

she already did half a hat, so we can say $\cfrac{7}{2}-\cfrac{1}{2}\implies \cfrac{7-1}{2}\implies 3$

so she only needs enough fabric to make 3 more full hats, we know each one uses 9/7 ft, so

$3\cdot \cfrac{9}{7}\implies \cfrac{27}{7}\implies 3\frac{6}{7}$

5 0

2 years ago

Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder o

lesantik [10]

180+x=450 idk if this is wrong

4 0

3 years ago

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