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pogonyaev
3 years ago
8

Hi could you please tell me the answer to this?

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

5

Step-by-step explanation:

5

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What is the length of this rectangle?
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3 years ago
What value of k makes the equation true? (5a^2 b^3)(6a^k b)=30a^6 b^4
Ratling [72]

we are given

(5a^2 b^3)(6a^k b)=30a^6 b^4

Firstly, we will simplify left side

and then we can solve for k

Left side is

(5a^2 b^3)(6a^k b)

we can arrange like terms

(5a^2 6a^k)(b^3 b)

(5\times 6 a^2a^k)(b^3 b)

(30 a^2a^k)(b^3 b^1)

now, we can use property of exponent

a^m \times a^n=a^{m+n}

(30 a^{2+k})(b^{3+1})

30a^{2+k}b^{4}

now, we can equate it with right side

and we get

30a^{2+k}b^{4}=30a^6 b^4

We can see that both sides have 30 , a and b

and they are equal

so, exponent of a must also be equal

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now, we can solve for k

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