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3 years ago

Plzzzzzz ans this quickly plzz

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Step-by-step explanation:

Prime factorization of 48 is :

$48=2\times 2 \times 2 \times 2 \times 3\\\\=2^4\times 3^1$

Option (3) is true.

Prime factorization of 19 is:

19 = 19 × 1

Option (c) is correct.

(10).

Prime factorization of 924 is:

924 = 2 x 2 x 3 x 7 x 11

= 2² x 3¹ x 7¹ x 11¹

Hence, this is the required solution.

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(ar^b)^4=81r^24 where a and b are positive integers. Work out a and b

galina1969 [7]

Answer:

Vales of a =3 and b = 6

Step-by-step explanation:

Given that: $(ar^b)^4 = 81r^{24}$ .....[1] where a and b are positive integers

we can write 81 and 24 as;

$81 = 3 \cdot 3 \cdot 3 \cdot 3 = 3^4$

$24 = 4 \cdot 6$

We have [1] as;

$(ar^b)^4 = 3^4r^{4 \cdot 6}$

Using power rules;

$a^nb^n = (ab)^n$

$a^n = b^n$ which implies a = b

then;

$(ar^b)^4 = (3r^6)^4$

$ar^b = 3r^6$

On comparing both sides we have;

a = 3 and

$r^b = r^6$

⇒ $b = 6$

Therefore, the value of a and b are, 3 and 6

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4 years ago

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Musya8 [376]

Answer:

5x<12

Step-by-step explanation:

Five times x is equally 5x fewer than is equally < # 5x<12

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