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3 years ago

Cats can add but they do not multiply

Mathematics

1 answer:

Eduardwww [97]3 years ago

7 0

Lol ok where’s the question is this just for fun?

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What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

3 years ago

Read 2 more answers

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larisa [96]

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3 0

3 years ago

5x - 4y = 0 in point intercept form

Contact [7]

Answer:

in slope-intercept form y = 5/4x in y-intercept form is b = 0. try to use math___way dot com

Step-by-step explanation:

6 0

3 years ago

M5-3/2x less than or equal to 1/3

Zepler [3.9K]

Answer: choice A

Step-by-step explanation:

by rearranging the initial inequality you’ll get

$\frac{3}{2} x\leq 5-\frac{1}{3}$

which equals

$\frac{3}{2} x\leq\frac{14}{3}$

then multiply both sides by 2/3

$x\leq \frac{28}{9}$

8 0

3 years ago

Hurry I need help pls hurry.

Sav [38]

Answer:

Step-by-step explanation:

8 0

2 years ago